34630960 has 160 divisors (see below), whose sum is σ = 101993472. Its totient is φ = 10644480.

The previous prime is 34630943. The next prime is 34630961. The reversal of 34630960 is 6903643.

It is not an unprimeable number, because it can be changed into a prime (34630961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487725 + ... + 487795.

Almost surely, 2^34630960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736).

34630960 is an abundant number, since it is smaller than the sum of its proper divisors (67362512).

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

34630960 is a wasteful number, since it uses less digits than its factorization.

34630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 34630960 is about 5884.8075584508. The cubic root of 34630960 is about 325.9528956996.

The spelling of 34630960 in words is "thirty-four million, six hundred thirty thousand, nine hundred sixty".