34435482624 has 99 divisors (see below), whose sum is σ = 99483174453. Its totient is φ = 11472556032.

The previous prime is 34435482619. The next prime is 34435482689. The reversal of 34435482624 is 42628453443.

The square root of 34435482624 is 185568.

It is a perfect power (a square), and thus also a powerful number.

34435482624 is a `hidden beast` number, since 3 + 4 + 43 + 548 + 2 + 62 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23445734400 + 10989748224 = 153120^2 + 104832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34435482624.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17813562 + ... + 17815494.

Almost surely, 2^34435482624 is an apocalyptic number.

34435482624 is the 185568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34435482624

34435482624 is an abundant number, since it is smaller than the sum of its proper divisors (65047691829).

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

34435482624 is an frugal number, since it uses more digits than its factorization.

34435482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 1938 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 34435482624 in words is "thirty-four billion, four hundred thirty-five million, four hundred eighty-two thousand, six hundred twenty-four".