3634524864 has 112 divisors (see below), whose sum is σ = 10704515040. Its totient is φ = 1209277440.

The previous prime is 3634524841. The next prime is 3634524869. The reversal of 3634524864 is 4684254363.

3634524864 is a `hidden beast` number, since 3 + 6 + 345 + 248 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (3634524869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126774 + ... + 1129994.

Almost surely, 2^3634524864 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 3634524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352257520).

3634524864 is an abundant number, since it is smaller than the sum of its proper divisors (7069990176).

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

3634524864 is a wasteful number, since it uses less digits than its factorization.

3634524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3879 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 3634524864 is about 60287.0206926831. The cubic root of 3634524864 is about 1537.5026798288.

The spelling of 3634524864 in words is "three billion, six hundred thirty-four million, five hundred twenty-four thousand, eight hundred sixty-four".