34576864 has 48 divisors (see below), whose sum is σ = 78357888. Its totient is φ = 14712192.

The previous prime is 34576837. The next prime is 34576897. The reversal of 34576864 is 46867543.

It is a self number, because there is not a number n which added to its sum of digits gives 34576864.

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, 36039 + ... + 36985.

It is an arithmetic number, because the mean of its divisors is an integer number (1632456).

Almost surely, 2^34576864 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 34576864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39178944).

34576864 is an abundant number, since it is smaller than the sum of its proper divisors (43781024).

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

34576864 is a wasteful number, since it uses less digits than its factorization.

34576864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 34576864 is about 5880.2095200766. The cubic root of 34576864 is about 325.7830867866.

The spelling of 34576864 in words is "thirty-four million, five hundred seventy-six thousand, eight hundred sixty-four".