3504162072096 has 96 divisors (see below), whose sum is σ = 11680540260480. Its totient is φ = 1001189161728.

The previous prime is 3504162072049. The next prime is 3504162072101. The reversal of 3504162072096 is 6902702614053.

3504162072096 is a `hidden beast` number, since 3 + 5 + 0 + 416 + 20 + 7 + 209 + 6 = 666.

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

It is a super-2 number, since 2×3504162072096² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289689891 + ... + 289701986.

It is an arithmetic number, because the mean of its divisors is an integer number (121672294380).

Almost surely, 2^{3504162072096} is an apocalyptic number.

3504162072096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3504162072096 is an abundant number, since it is smaller than the sum of its proper divisors (8176378188384).

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

3504162072096 is a wasteful number, since it uses less digits than its factorization.

3504162072096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579391903 (or 579391889 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3504162072096 in words is "three trillion, five hundred four billion, one hundred sixty-two million, seventy-two thousand, ninety-six".