34999056 has 135 divisors (see below), whose sum is σ = 107760991. Its totient is φ = 10601472.

The previous prime is 34999051. The next prime is 34999079. The reversal of 34999056 is 65099943.

It is a happy number.

The square root of 34999056 is 5916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3459600 + 31539456 = 1860^2 + 5616^2 .

It is a super-2 number, since 2×34999056² = 2449867841782272, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34999051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1206850 + ... + 1206878.

Almost surely, 2^34999056 is an apocalyptic number.

34999056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34999056 is the 5916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34999056

34999056 is an abundant number, since it is smaller than the sum of its proper divisors (72761935).

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

34999056 is a wasteful number, since it uses less digits than its factorization.

34999056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The cubic root of 34999056 is about 327.1036901480.

The spelling of 34999056 in words is "thirty-four million, nine hundred ninety-nine thousand, fifty-six".