34077568 has 64 divisors (see below), whose sum is σ = 78801120. Its totient is φ = 14376960.

The previous prime is 34077557. The next prime is 34077599. The reversal of 34077568 is 86577043.

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

It is a super-2 number, since 2×34077568² = 2322561281589248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34077568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65148 + ... + 65668.

Almost surely, 2^34077568 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 34077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39400560).

34077568 is an abundant number, since it is smaller than the sum of its proper divisors (44723552).

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

34077568 is an equidigital number, since it uses as much as digits as its factorization.

34077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 34077568 is about 5837.5995066465. The cubic root of 34077568 is about 324.2073559623.

The spelling of 34077568 in words is "thirty-four million, seventy-seven thousand, five hundred sixty-eight".