3624900864 has 288 divisors, whose sum is σ = 11105297280. Its totient is φ = 1040449536.

The previous prime is 3624900863. The next prime is 3624900887. The reversal of 3624900864 is 4680094263.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3624900863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18400414 + ... + 18400610.

It is an arithmetic number, because the mean of its divisors is an integer number (38560060).

Almost surely, 2^3624900864 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 3624900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552648640).

3624900864 is an abundant number, since it is smaller than the sum of its proper divisors (7480396416).

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

3624900864 is a wasteful number, since it uses less digits than its factorization.

3624900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3624900864 is about 60207.1496086636. The cubic root of 3624900864 is about 1536.1444091658.

The spelling of 3624900864 in words is "three billion, six hundred twenty-four million, nine hundred thousand, eight hundred sixty-four".