31934616806400 has 2376 divisors, whose sum is σ = 141425689935456. Its totient is φ = 6283572019200.

The previous prime is 31934616806377. The next prime is 31934616806401. The reversal of 31934616806400 is 460861643913.

It is not an unprimeable number, because it can be changed into a prime (31934616806401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14943666132 + ... + 14943668268.

Almost surely, 2^{31934616806400} is an apocalyptic number.

31934616806400 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 31934616806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70712844967728).

31934616806400 is an abundant number, since it is smaller than the sum of its proper divisors (109491073129056).

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

31934616806400 is a wasteful number, since it uses less digits than its factorization.

31934616806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 31934616806400 in words is "thirty-one trillion, nine hundred thirty-four billion, six hundred sixteen million, eight hundred six thousand, four hundred".