3565413806400 has 504 divisors, whose sum is σ = 13175340578400. Its totient is φ = 948341053440.

The previous prime is 3565413806393. The next prime is 3565413806431. The reversal of 3565413806400 is 46083145653.

3565413806400 is a `hidden beast` number, since 3 + 565 + 4 + 1 + 3 + 80 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×3565413806400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154342051 + ... + 154365149.

Almost surely, 2^{3565413806400} is an apocalyptic number.

3565413806400 is a gapful number since it is divisible by the number (30) 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 3565413806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587670289200).

3565413806400 is an abundant number, since it is smaller than the sum of its proper divisors (9609926772000).

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

3565413806400 is a wasteful number, since it uses less digits than its factorization.

3565413806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23533 (or 23506 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3565413806400 in words is "three trillion, five hundred sixty-five billion, four hundred thirteen million, eight hundred six thousand, four hundred".