31875772320 has 768 divisors, whose sum is σ = 135320371200. Its totient is φ = 6852833280.

The previous prime is 31875772319. The next prime is 31875772349. The reversal of 31875772320 is 2327757813.

It is a happy number.

31875772320 is a `hidden beast` number, since 31 + 8 + 7 + 577 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34684821 + ... + 34685739.

It is an arithmetic number, because the mean of its divisors is an integer number (176198400).

Almost surely, 2^31875772320 is an apocalyptic number.

31875772320 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 31875772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67660185600).

31875772320 is an abundant number, since it is smaller than the sum of its proper divisors (103444598880).

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

31875772320 is a wasteful number, since it uses less digits than its factorization.

31875772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 31875772320 in words is "thirty-one billion, eight hundred seventy-five million, seven hundred seventy-two thousand, three hundred twenty".