31385376 has 72 divisors (see below), whose sum is σ = 97375824. Its totient is φ = 9509760.

The previous prime is 31385353. The next prime is 31385429. The reversal of 31385376 is 67358313.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31385376² = 1970083653322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31385376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (1352442).

Almost surely, 2^31385376 is an apocalyptic number.

31385376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31385376 is an abundant number, since it is smaller than the sum of its proper divisors (65990448).

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

31385376 is a wasteful number, since it uses less digits than its factorization.

31385376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9923 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 31385376 is about 5602.2652561263. The cubic root of 31385376 is about 315.4344421223.

The spelling of 31385376 in words is "thirty-one million, three hundred eighty-five thousand, three hundred seventy-six".