34825800 has 48 divisors (see below), whose sum is σ = 107961840. Its totient is φ = 9286720.

The previous prime is 34825799. The next prime is 34825831. The reversal of 34825800 is 852843.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28422 + ... + 29621.

It is an arithmetic number, because the mean of its divisors is an integer number (2249205).

Almost surely, 2^34825800 is an apocalyptic number.

34825800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34825800 is an abundant number, since it is smaller than the sum of its proper divisors (73136040).

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

34825800 is a wasteful number, since it uses less digits than its factorization.

34825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58062 (or 58053 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 34825800 is about 5901.3388311467. The cubic root of 34825800 is about 326.5630427026.

The spelling of 34825800 in words is "thirty-four million, eight hundred twenty-five thousand, eight hundred".