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3493878912 = 27325635387
BaseRepresentation
bin1101000001000000…
…0101110010000000
3100000111100102211200
43100100011302000
524123413111122
61334405541200
7152403323616
oct32020056200
910014312750
103493878912
111533226a37
12816114800
13438b05494
142520476b6
15156aed5ac
hexd0405c80

3493878912 has 96 divisors (see below), whose sum is σ = 10073728080. Its totient is φ = 1162341888.

The previous prime is 3493878889. The next prime is 3493878929. The reversal of 3493878912 is 2198783943.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645883 + ... + 651269.

Almost surely, 23493878912 is an apocalyptic number.

3493878912 is a gapful number since it is divisible by the number (32) 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 3493878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036864040).

3493878912 is an abundant number, since it is smaller than the sum of its proper divisors (6579849168).

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

3493878912 is a wasteful number, since it uses less digits than its factorization.

3493878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5955 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 3493878912 is about 59109.0425569557. The cubic root of 3493878912 is about 1517.4088633435.

The spelling of 3493878912 in words is "three billion, four hundred ninety-three million, eight hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 563 576 1126 1152 1689 2252 3378 4504 5067 5387 6756 9008 10134 10774 13512 16161 18016 20268 21548 27024 32322 36032 40536 43096 48483 54048 64644 72064 81072 86192 96966 108096 129288 162144 172384 193932 216192 258576 324288 344768 387864 517152 648576 689536 775728 1034304 1551456 2068608 3032881 3102912 6065762 6205824 9098643 12131524 18197286 24263048 27295929 36394572 48526096 54591858 72789144 97052192 109183716 145578288 194104384 218367432 291156576 388208768 436734864 582313152 873469728 1164626304 1746939456 3493878912