34825200 has 60 divisors (see below), whose sum is σ = 111560568. Its totient is φ = 9286400.

The previous prime is 34825181. The next prime is 34825207. The reversal of 34825200 is 252843.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13311 + ... + 15710.

Almost surely, 2^34825200 is an apocalyptic number.

34825200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34825200 is an abundant number, since it is smaller than the sum of its proper divisors (76735368).

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

34825200 is a wasteful number, since it uses less digits than its factorization.

34825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29042 (or 29031 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34825200 is about 5901.2879950058. The cubic root of 34825200 is about 326.5611672832.

The spelling of 34825200 in words is "thirty-four million, eight hundred twenty-five thousand, two hundred".