34630560 has 72 divisors (see below), whose sum is σ = 118181700. Its totient is φ = 9234432.

The previous prime is 34630537. The next prime is 34630573. The reversal of 34630560 is 6503643.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 197136 = 5868^2 + 444^2 .

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

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, 10585 + ... + 13464.

Almost surely, 2^34630560 is an apocalyptic number.

34630560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34630560 is an abundant number, since it is smaller than the sum of its proper divisors (83551140).

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

34630560 is a wasteful number, since it uses less digits than its factorization.

34630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24070 (or 24059 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 34630560 is about 5884.7735725345. The cubic root of 34630560 is about 325.9516407372.

The spelling of 34630560 in words is "thirty-four million, six hundred thirty thousand, five hundred sixty".