31891679040 has 672 divisors, whose sum is σ = 120160060416. Its totient is φ = 7130972160.

The previous prime is 31891679021. The next prime is 31891679063. The reversal of 31891679040 is 4097619813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85500294 + ... + 85500666.

Almost surely, 2^31891679040 is an apocalyptic number.

31891679040 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 31891679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60080030208).

31891679040 is an abundant number, since it is smaller than the sum of its proper divisors (88268381376).

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

31891679040 is a wasteful number, since it uses less digits than its factorization.

31891679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 31891679040 in words is "thirty-one billion, eight hundred ninety-one million, six hundred seventy-nine thousand, forty".