34456900 has 27 divisors (see below), whose sum is σ = 74899069. Its totient is φ = 13759280.

The previous prime is 34456883. The next prime is 34456913. The reversal of 34456900 is 965443.

The square root of 34456900 is 5870.

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

It can be written as a sum of positive squares in only one way, i.e., 12404484 + 22052416 = 3522^2 + 4696^2 .

It is a super-2 number, since 2×34456900² = 2374555915220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58407 + ... + 58993.

Almost surely, 2^34456900 is an apocalyptic number.

34456900 is the 5870-th square number.

It is an amenable number.

34456900 is an abundant number, since it is smaller than the sum of its proper divisors (40442169).

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

34456900 is an equidigital number, since it uses as much as digits as its factorization.

34456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The cubic root of 34456900 is about 325.4058834251.

The spelling of 34456900 in words is "thirty-four million, four hundred fifty-six thousand, nine hundred".