34402368 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 8202240.

The previous prime is 34402351. The next prime is 34402393. The reversal of 34402368 is 86320443.

It is a tau number, because it is divible by the number of its divisors (224).

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, 192103 + ... + 192281.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^34402368 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 34402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

34402368 is an abundant number, since it is smaller than the sum of its proper divisors (88492992).

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

34402368 is a wasteful number, since it uses less digits than its factorization.

34402368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34402368 is about 5865.3531862966. The cubic root of 34402368 is about 325.2341287300.

The spelling of 34402368 in words is "thirty-four million, four hundred two thousand, three hundred sixty-eight".