34013364 has 96 divisors (see below), whose sum is σ = 100058112. Its totient is φ = 8736000.

The previous prime is 34013351. The next prime is 34013393. The reversal of 34013364 is 46331043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120904 + ... + 121184.

It is an arithmetic number, because the mean of its divisors is an integer number (1042272).

Almost surely, 2^34013364 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 34013364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50029056).

34013364 is an abundant number, since it is smaller than the sum of its proper divisors (66044748).

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

34013364 is a wasteful number, since it uses less digits than its factorization.

34013364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34013364 is about 5832.0977358066. The cubic root of 34013364 is about 324.0036198346.

The spelling of 34013364 in words is "thirty-four million, thirteen thousand, three hundred sixty-four".