34800642 has 24 divisors (see below), whose sum is σ = 75638316. Its totient is φ = 11563776.

The previous prime is 34800637. The next prime is 34800659. The reversal of 34800642 is 24600843.

It can be written as a sum of positive squares in 2 ways, for example, as 27783441 + 7017201 = 5271^2 + 2649^2 .

It is a super-2 number, since 2×34800642² = 2422169367224328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198 + ... + 8934.

Almost surely, 2^34800642 is an apocalyptic number.

34800642 is an abundant number, since it is smaller than the sum of its proper divisors (40837674).

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

34800642 is a wasteful number, since it uses less digits than its factorization.

34800642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34800642 is about 5899.2068958463. The cubic root of 34800642 is about 326.4843878726.

The spelling of 34800642 in words is "thirty-four million, eight hundred thousand, six hundred forty-two".