34644864 has 64 divisors (see below), whose sum is σ = 93219840. Its totient is φ = 11398656.

The previous prime is 34644853. The next prime is 34644871. The reversal of 34644864 is 46844643.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31329 + ... + 32415.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 2^34644864 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 34644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46609920).

34644864 is an abundant number, since it is smaller than the sum of its proper divisors (58574976).

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

34644864 is a wasteful number, since it uses less digits than its factorization.

34644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 34644864 is about 5885.9887869414. The cubic root of 34644864 is about 325.9965121887.

The spelling of 34644864 in words is "thirty-four million, six hundred forty-four thousand, eight hundred sixty-four".