34625600 has 168 divisors, whose sum is σ = 96377760. Its totient is φ = 12165120.

The previous prime is 34625597. The next prime is 34625611. The reversal of 34625600 is 652643.

It is a super-4 number, since 4×34625600⁴ (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34625600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516767 + ... + 516833.

Almost surely, 2^34625600 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 34625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48188880).

34625600 is an abundant number, since it is smaller than the sum of its proper divisors (61752160).

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

34625600 is a wasteful number, since it uses less digits than its factorization.

34625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 34625600 is about 5884.3521308637. The cubic root of 34625600 is about 325.9360784002.

The spelling of 34625600 in words is "thirty-four million, six hundred twenty-five thousand, six hundred".