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3678984036 = 223571341593
BaseRepresentation
bin1101101101001000…
…1101011101100100
3100111101122202100000
43123102031131210
530013304442121
61405021221300
7160111563660
oct33322153544
910441582300
103678984036
111618766182
12868101830
13468275c40
1426c86d8a0
15167eb4526
hexdb48d764

3678984036 has 144 divisors (see below), whose sum is σ = 11869929344. Its totient is φ = 970258176.

The previous prime is 3678984019. The next prime is 3678984073. The reversal of 3678984036 is 6304898763.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67656 + ... + 109248.

Almost surely, 23678984036 is an apocalyptic number.

3678984036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678984036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934964672).

3678984036 is an abundant number, since it is smaller than the sum of its proper divisors (8190945308).

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

3678984036 is a wasteful number, since it uses less digits than its factorization.

3678984036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41632 (or 41618 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3678984036 is about 60654.6291390855. The cubic root of 3678984036 is about 1543.7464353352.

The spelling of 3678984036 in words is "three billion, six hundred seventy-eight million, nine hundred eighty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 41593 44226 83186 88452 124779 166372 249558 291151 374337 499116 540709 582302 748674 873453 1081418 1123011 1164604 1497348 1622127 1746906 2162836 2246022 2620359 3244254 3369033 3493812 3784963 4492044 4866381 5240718 6488508 6738066 7569926 7861077 9732762 10107099 10481436 11354889 13476132 14599143 15139852 15722154 19465524 20214198 22709778 23583231 29198286 31444308 34064667 40428396 43797429 45419556 47166462 58396572 68129334 70749693 87594858 94332924 102194001 131392287 136258668 141499386 175189716 204388002 262784574 282998772 306582003 408776004 525569148 613164006 919746009 1226328012 1839492018 3678984036