31380825600 has 960 divisors, whose sum is σ = 124822368000. Its totient is φ = 7793418240.

The previous prime is 31380825547. The next prime is 31380825613. The reversal of 31380825600 is 652808313.

31380825600 is a `hidden beast` number, since 3 + 13 + 8 + 0 + 82 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531878371 + ... + 531878429.

It is an arithmetic number, because the mean of its divisors is an integer number (130023300).

Almost surely, 2^31380825600 is an apocalyptic number.

31380825600 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 31380825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411184000).

31380825600 is an abundant number, since it is smaller than the sum of its proper divisors (93441542400).

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

31380825600 is an frugal number, since it uses more digits than its factorization.

31380825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 31380825600 in words is "thirty-one billion, three hundred eighty million, eight hundred twenty-five thousand, six hundred".