34354368 has 126 divisors (see below), whose sum is σ = 104336596. Its totient is φ = 11207808.

The previous prime is 34354367. The next prime is 34354381. The reversal of 34354368 is 86345343.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34354361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 730921 + ... + 730967.

Almost surely, 2^34354368 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 34354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52168298).

34354368 is an abundant number, since it is smaller than the sum of its proper divisors (69982228).

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

34354368 is an frugal number, since it uses more digits than its factorization.

34354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 34354368 is about 5861.2599328131. The cubic root of 34354368 is about 325.0827970508.

The spelling of 34354368 in words is "thirty-four million, three hundred fifty-four thousand, three hundred sixty-eight".