34402464 has 72 divisors (see below), whose sum is σ = 102997440. Its totient is φ = 10862208.

The previous prime is 34402447. The next prime is 34402469. The reversal of 34402464 is 46420443.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34402469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2329 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (1430520).

Almost surely, 2^34402464 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 34402464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498720).

34402464 is an abundant number, since it is smaller than the sum of its proper divisors (68594976).

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

34402464 is a wasteful number, since it uses less digits than its factorization.

34402464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 34402464 is about 5865.3613699413. The cubic root of 34402464 is about 325.2344312522.

The spelling of 34402464 in words is "thirty-four million, four hundred two thousand, four hundred sixty-four".