34504960 has 72 divisors (see below), whose sum is σ = 94481856. Its totient is φ = 11827200.

The previous prime is 34504949. The next prime is 34504993. The reversal of 34504960 is 6940543.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 7035 + ... + 10885.

It is an arithmetic number, because the mean of its divisors is an integer number (1312248).

Almost surely, 2^34504960 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 34504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47240928).

34504960 is an abundant number, since it is smaller than the sum of its proper divisors (59976896).

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

34504960 is an equidigital number, since it uses as much as digits as its factorization.

34504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 34504960 is about 5874.0922703002. The cubic root of 34504960 is about 325.5571036583.

The spelling of 34504960 in words is "thirty-four million, five hundred four thousand, nine hundred sixty".