3413160632736 has 96 divisors (see below), whose sum is σ = 9998524267200. Its totient is φ = 1132751934720.

The previous prime is 3413160632729. The next prime is 3413160632743. The reversal of 3413160632736 is 6372360613143.

3413160632736 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 6 + 0 + 632 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3413160632729) and next prime (3413160632743).

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

It is a junction number, because it is equal to n+sod(n) for n = 3413160632691 and 3413160632700.

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, 8427510 + ... + 8823221.

It is an arithmetic number, because the mean of its divisors is an integer number (104151294450).

Almost surely, 2^{3413160632736} is an apocalyptic number.

3413160632736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3413160632736 is an abundant number, since it is smaller than the sum of its proper divisors (6585363634464).

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

3413160632736 is a wasteful number, since it uses less digits than its factorization.

3413160632736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17250979 (or 17250965 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 3413160632736 in words is "three trillion, four hundred thirteen billion, one hundred sixty million, six hundred thirty-two thousand, seven hundred thirty-six".