34972800 has 96 divisors (see below), whose sum is σ = 115223280. Its totient is φ = 9323520.

The previous prime is 34972799. The next prime is 34972813. The reversal of 34972800 is 827943.

It is a tau number, because it is divible by the number of its divisors (96).

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, 7779 + ... + 11421.

Almost surely, 2^34972800 is an apocalyptic number.

34972800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57611640).

34972800 is an abundant number, since it is smaller than the sum of its proper divisors (80250480).

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

34972800 is a wasteful number, since it uses less digits than its factorization.

34972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 34972800 is about 5913.7805167253. The cubic root of 34972800 is about 327.0218728647.

The spelling of 34972800 in words is "thirty-four million, nine hundred seventy-two thousand, eight hundred".