34524864 has 84 divisors (see below), whose sum is σ = 107975400. Its totient is φ = 10460160.

The previous prime is 34524857. The next prime is 34524869. The reversal of 34524864 is 46842543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34524869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3612 + ... + 9060.

Almost surely, 2^34524864 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 34524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53987700).

34524864 is an abundant number, since it is smaller than the sum of its proper divisors (73450536).

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

34524864 is a wasteful number, since it uses less digits than its factorization.

34524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5465 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 34524864 is about 5875.7862452611. The cubic root of 34524864 is about 325.6196902451.

The spelling of 34524864 in words is "thirty-four million, five hundred twenty-four thousand, eight hundred sixty-four".