31869390400 has 63 divisors (see below), whose sum is σ = 78436193521. Its totient is φ = 12744899840.

The previous prime is 31869390383. The next prime is 31869390401. The reversal of 31869390400 is 409396813.

The square root of 31869390400 is 178520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11472980544 + 20396409856 = 107112^2 + 142816^2 .

It is a super-2 number, since 2×31869390400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31869390401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7138569 + ... + 7143031.

Almost surely, 2^31869390400 is an apocalyptic number.

31869390400 is the 178520-th square number.

It is an amenable number.

31869390400 is an abundant number, since it is smaller than the sum of its proper divisors (46566803121).

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

31869390400 is an frugal number, since it uses more digits than its factorization.

31869390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 31869390400 in words is "thirty-one billion, eight hundred sixty-nine million, three hundred ninety thousand, four hundred".