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3456693636 = 223112191071171
BaseRepresentation
bin1100111000001000…
…1111010110000100
322220220101020020020
43032002033112010
524034403144021
61331000535140
7151442261004
oct31602172604
98826336206
103456693636
111514239100
128057814b0
134311b5b66
1424b128004
151537057c6
hexce08f584

3456693636 has 144 divisors (see below), whose sum is σ = 9427380480. Its totient is φ = 982238400.

The previous prime is 3456693629. The next prime is 3456693637. The reversal of 3456693636 is 6363966543.

It is a happy number.

It is a super-3 number, since 3×34566936363 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3456693637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2951331 + ... + 2952501.

It is an arithmetic number, because the mean of its divisors is an integer number (65467920).

Almost surely, 23456693636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456693636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713690240).

3456693636 is an abundant number, since it is smaller than the sum of its proper divisors (5970686844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3456693636 is a wasteful number, since it uses less digits than its factorization.

3456693636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 51.

The square root of 3456693636 is about 58793.6530247951. The cubic root of 3456693636 is about 1512.0064020193.

The spelling of 3456693636 in words is "three billion, four hundred fifty-six million, six hundred ninety-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 107 114 121 132 209 214 228 242 321 363 418 428 484 627 642 726 836 1171 1177 1254 1284 1452 2033 2299 2342 2354 2508 3513 3531 4066 4598 4684 4708 6099 6897 7026 7062 8132 9196 12198 12881 12947 13794 14052 14124 22249 22363 24396 25762 25894 27588 38643 38841 44498 44726 51524 51788 66747 67089 77286 77682 88996 89452 125297 133494 134178 141691 154572 155364 244739 245993 250594 266988 268356 283382 375891 425073 489478 491986 501188 566764 734217 737979 751782 850146 978956 983972 1378267 1468434 1475958 1503564 1700292 2380643 2692129 2756534 2936868 2951916 4134801 4761286 5384258 5513068 7141929 8076387 8269602 9522572 10768516 14283858 15160937 16152774 16539204 26187073 28567716 30321874 32305548 45482811 52374146 60643748 78561219 90965622 104748292 157122438 181931244 288057803 314244876 576115606 864173409 1152231212 1728346818 3456693636