34725600 has 432 divisors, whose sum is σ = 153552672. Its totient is φ = 7188480.

The previous prime is 34725569. The next prime is 34725619. The reversal of 34725600 is 652743.

It is a happy number.

34725600 is a `hidden beast` number, since 34 + 7 + 25 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655174 + ... + 655226.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^34725600 is an apocalyptic number.

34725600 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 34725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

34725600 is an abundant number, since it is smaller than the sum of its proper divisors (118827072).

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

34725600 is a wasteful number, since it uses less digits than its factorization.

34725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34725600 is about 5892.8431168664. The cubic root of 34725600 is about 326.2495485967.

The spelling of 34725600 in words is "thirty-four million, seven hundred twenty-five thousand, six hundred".