31874976 has 144 divisors (see below), whose sum is σ = 105303744. Its totient is φ = 8957952.

The previous prime is 31874963. The next prime is 31875029. The reversal of 31874976 is 67947813.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195471 + ... + 195633.

It is an arithmetic number, because the mean of its divisors is an integer number (731276).

Almost surely, 2^31874976 is an apocalyptic number.

31874976 is a gapful number since it is divisible by the number (36) 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 31874976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651872).

31874976 is an abundant number, since it is smaller than the sum of its proper divisors (73428768).

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

31874976 is a wasteful number, since it uses less digits than its factorization.

31874976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 31874976 is about 5645.7927698420. The cubic root of 31874976 is about 317.0662056918.

The spelling of 31874976 in words is "thirty-one million, eight hundred seventy-four thousand, nine hundred seventy-six".