31868645400 has 384 divisors, whose sum is σ = 116671104000. Its totient is φ = 7967877120.

The previous prime is 31868645399. The next prime is 31868645407. The reversal of 31868645400 is 454686813.

31868645400 is a `hidden beast` number, since 3 + 186 + 8 + 64 + 5 + 400 = 666.

It is a super-2 number, since 2×31868645400² (a number of 22 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 not an unprimeable number, because it can be changed into a prime (31868645407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32955717 + ... + 32956683.

It is an arithmetic number, because the mean of its divisors is an integer number (303831000).

Almost surely, 2^31868645400 is an apocalyptic number.

31868645400 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 31868645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58335552000).

31868645400 is an abundant number, since it is smaller than the sum of its proper divisors (84802458600).

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

31868645400 is a wasteful number, since it uses less digits than its factorization.

31868645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 31868645400 in words is "thirty-one billion, eight hundred sixty-eight million, six hundred forty-five thousand, four hundred".