34457360 has 80 divisors (see below), whose sum is σ = 94089216. Its totient is φ = 11487744.

The previous prime is 34457359. The next prime is 34457369. The reversal of 34457360 is 6375443.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34457369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19889 + ... + 21551.

Almost surely, 2^34457360 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 34457360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044608).

34457360 is an abundant number, since it is smaller than the sum of its proper divisors (59631856).

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

34457360 is a wasteful number, since it uses less digits than its factorization.

34457360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 34457360 is about 5870.0391821520. The cubic root of 34457360 is about 325.4073314760.

The spelling of 34457360 in words is "thirty-four million, four hundred fifty-seven thousand, three hundred sixty".