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3499661376 = 26341935531
BaseRepresentation
bin1101000010011000…
…1001100001000000
3100000220020012220000
43100212021201000
524131403131001
61335133520000
7152503426251
oct32046114100
910026205800
103499661376
111536516432
12818043000
1343a07b463
14252b10b28
15157391a86
hexd0989840

3499661376 has 140 divisors (see below), whose sum is σ = 10920404880. Its totient is φ = 1105125120.

The previous prime is 3499661359. The next prime is 3499661383. The reversal of 3499661376 is 6731669943.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80731 + ... + 116261.

It is an arithmetic number, because the mean of its divisors is an integer number (78002892).

Almost surely, 23499661376 is an apocalyptic number.

3499661376 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 3499661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460202440).

3499661376 is an abundant number, since it is smaller than the sum of its proper divisors (7420743504).

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

3499661376 is a wasteful number, since it uses less digits than its factorization.

3499661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35574 (or 35555 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 3499661376 is about 59157.9358666274. The cubic root of 3499661376 is about 1518.2455195061.

The spelling of 3499661376 in words is "three billion, four hundred ninety-nine million, six hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 35531 49248 71062 98496 106593 142124 213186 284248 319779 426372 568496 639558 675089 852744 959337 1136992 1279116 1350178 1705488 1918674 2025267 2273984 2558232 2700356 2878011 3410976 3837348 4050534 5116464 5400712 5756022 6075801 6821952 7674696 8101068 10232928 10801424 11512044 12151602 15349392 16202136 18227403 20465856 21602848 23024088 24303204 30698784 32404272 36454806 43205696 46048176 48606408 54682209 61397568 64808544 72909612 92096352 97212816 109364418 129617088 145819224 184192704 194425632 218728836 291638448 388851264 437457672 583276896 874915344 1166553792 1749830688 3499661376