3676436400400 has 120 divisors (see below), whose sum is σ = 8922592917504. Its totient is φ = 1455605952000.

The previous prime is 3676436400397. The next prime is 3676436400419. The reversal of 3676436400400 is 40046346763.

It is a super-2 number, since 2×3676436400400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173022577 + ... + 173043823.

Almost surely, 2^{3676436400400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676436400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461296458752).

3676436400400 is an abundant number, since it is smaller than the sum of its proper divisors (5246156517104).

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

3676436400400 is a wasteful number, since it uses less digits than its factorization.

3676436400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25649 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 3676436400400 in words is "three trillion, six hundred seventy-six billion, four hundred thirty-six million, four hundred thousand, four hundred".