3625824384 has 672 divisors, whose sum is σ = 13789703340. Its totient is φ = 940584960.

The previous prime is 3625824337. The next prime is 3625824407. The reversal of 3625824384 is 4834285263.

3625824384 is a `hidden beast` number, since 3 + 62 + 582 + 4 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2800526400 + 825297984 = 52920^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (1105920) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 59439714 + ... + 59439774.

Almost surely, 2^3625824384 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 3625824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894851670).

3625824384 is an abundant number, since it is smaller than the sum of its proper divisors (10163878956).

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

3625824384 is an equidigital number, since it uses as much as digits as its factorization.

3625824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3625824384 is about 60214.8186412614. The cubic root of 3625824384 is about 1536.2748531584.

The spelling of 3625824384 in words is "three billion, six hundred twenty-five million, eight hundred twenty-four thousand, three hundred eighty-four".