34631664 has 40 divisors (see below), whose sum is σ = 89696640. Its totient is φ = 11514048.

The previous prime is 34631657. The next prime is 34631671. The reversal of 34631664 is 46613643.

It is an interprime number because it is at equal distance from previous prime (34631657) and next prime (34631671).

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 7 ways as a sum of consecutive naturals, for example, 25597 + ... + 26915.

It is an arithmetic number, because the mean of its divisors is an integer number (2242416).

Almost surely, 2^34631664 is an apocalyptic number.

It is an amenable number.

34631664 is an abundant number, since it is smaller than the sum of its proper divisors (55064976).

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

34631664 is a wasteful number, since it uses less digits than its factorization.

34631664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1871 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 34631664 is about 5884.8673731869. The cubic root of 34631664 is about 325.9551044100.

The spelling of 34631664 in words is "thirty-four million, six hundred thirty-one thousand, six hundred sixty-four".