34825752 has 96 divisors (see below), whose sum is σ = 105159600. Its totient is φ = 10338048.

The previous prime is 34825733. The next prime is 34825759. The reversal of 34825752 is 25752843.

34825752 is a `hidden beast` number, since 3 + 4 + 82 + 575 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26503 + ... + 27785.

Almost surely, 2^34825752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34825752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52579800).

34825752 is an abundant number, since it is smaller than the sum of its proper divisors (70333848).

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

34825752 is a wasteful number, since it uses less digits than its factorization.

34825752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 34825752 is about 5901.3347642716. The cubic root of 34825752 is about 326.5628926699.

The spelling of 34825752 in words is "thirty-four million, eight hundred twenty-five thousand, seven hundred fifty-two".