34657152 has 64 divisors (see below), whose sum is σ = 97491600. Its totient is φ = 10870784.

The previous prime is 34657127. The next prime is 34657201. The reversal of 34657152 is 25175643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34657152² = 2402236369502208, which contains 22 as substring.

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, 3874 + ... + 9182.

Almost surely, 2^34657152 is an apocalyptic number.

34657152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48745800).

34657152 is an abundant number, since it is smaller than the sum of its proper divisors (62834448).

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

34657152 is a wasteful number, since it uses less digits than its factorization.

34657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5331 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 34657152 is about 5887.0325292120. The cubic root of 34657152 is about 326.0350496146.

The spelling of 34657152 in words is "thirty-four million, six hundred fifty-seven thousand, one hundred fifty-two".