3625839360 has 864 divisors, whose sum is σ = 15427915776. Its totient is φ = 774144000.

The previous prime is 3625839359. The next prime is 3625839401. The reversal of 3625839360 is 639385263.

3625839360 is a `hidden beast` number, since 3 + 6 + 2 + 583 + 9 + 3 + 60 = 666.

It is a super-2 number, since 2×3625839360² = 26293422129050419200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51068125 + ... + 51068195.

It is an arithmetic number, because the mean of its divisors is an integer number (17856384).

Almost surely, 2^3625839360 is an apocalyptic number.

3625839360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713957888).

3625839360 is an abundant number, since it is smaller than the sum of its proper divisors (11802076416).

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

3625839360 is a wasteful number, since it uses less digits than its factorization.

3625839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3625839360 is about 60214.9429959043. The cubic root of 3625839360 is about 1536.2769682838.

The spelling of 3625839360 in words is "three billion, six hundred twenty-five million, eight hundred thirty-nine thousand, three hundred sixty".