34725504 has 64 divisors (see below), whose sum is σ = 100637280. Its totient is φ = 10521600.

The previous prime is 34725503. The next prime is 34725529. The reversal of 34725504 is 40552743.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34725503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 8334.

Almost surely, 2^34725504 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 34725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50318640).

34725504 is an abundant number, since it is smaller than the sum of its proper divisors (65911776).

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

34725504 is a wasteful number, since it uses less digits than its factorization.

34725504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 34725504 is about 5892.8349713869. The cubic root of 34725504 is about 326.2492479541.

The spelling of 34725504 in words is "thirty-four million, seven hundred twenty-five thousand, five hundred four".