31948979040 has 672 divisors, whose sum is σ = 126980402976. Its totient is φ = 7524679680.

The previous prime is 31948978993. The next prime is 31948979137. The reversal of 31948979040 is 4097984913.

31948979040 is a `hidden beast` number, since 31 + 9 + 489 + 7 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47472144 + ... + 47472816.

It is an arithmetic number, because the mean of its divisors is an integer number (188958933).

Almost surely, 2^31948979040 is an apocalyptic number.

31948979040 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 31948979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63490201488).

31948979040 is an abundant number, since it is smaller than the sum of its proper divisors (95031423936).

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

31948979040 is a wasteful number, since it uses less digits than its factorization.

31948979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 31948979040 in words is "thirty-one billion, nine hundred forty-eight million, nine hundred seventy-nine thousand, forty".