31123984320 has 896 divisors, whose sum is σ = 131006453760. Its totient is φ = 6942412800.

The previous prime is 31123984313. The next prime is 31123984337. The reversal of 31123984320 is 2348932113.

31123984320 is a `hidden beast` number, since 311 + 239 + 84 + 32 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 100076965 + ... + 100077275.

It is an arithmetic number, because the mean of its divisors is an integer number (146212560).

Almost surely, 2^31123984320 is an apocalyptic number.

31123984320 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 31123984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503226880).

31123984320 is an abundant number, since it is smaller than the sum of its proper divisors (99882469440).

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

31123984320 is a wasteful number, since it uses less digits than its factorization.

31123984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31123984320 in words is "thirty-one billion, one hundred twenty-three million, nine hundred eighty-four thousand, three hundred twenty".