3456416663136 has 60 divisors (see below), whose sum is σ = 10165225402332. Its totient is φ = 1152138886848.

The previous prime is 3456416663129. The next prime is 3456416663137. The reversal of 3456416663136 is 6313666146543.

It is a super-2 number, since 2×3456416663136² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456416663137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 666744450 + ... + 666749633.

Almost surely, 2^{3456416663136} is an apocalyptic number.

3456416663136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3456416663136 is an abundant number, since it is smaller than the sum of its proper divisors (6708808739196).

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

3456416663136 is a wasteful number, since it uses less digits than its factorization.

3456416663136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333494105 (or 1333494088 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 3456416663136 in words is "three trillion, four hundred fifty-six billion, four hundred sixteen million, six hundred sixty-three thousand, one hundred thirty-six".