31678938400 has 72 divisors (see below), whose sum is σ = 77489141940. Its totient is φ = 12646517760.

The previous prime is 31678938391. The next prime is 31678938443. The reversal of 31678938400 is 483987613.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21452875024 + 10226063376 = 146468^2 + 101124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368302 + ... + 446098.

Almost surely, 2^31678938400 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 31678938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38744570970).

31678938400 is an abundant number, since it is smaller than the sum of its proper divisors (45810203540).

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

31678938400 is a wasteful number, since it uses less digits than its factorization.

31678938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78326 (or 78313 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 31678938400 in words is "thirty-one billion, six hundred seventy-eight million, nine hundred thirty-eight thousand, four hundred".