3625758720 has 416 divisors, whose sum is σ = 13210444800. Its totient is φ = 943128576.

The previous prime is 3625758677. The next prime is 3625758757. The reversal of 3625758720 is 278575263.

3625758720 is a `hidden beast` number, since 3 + 6 + 2 + 575 + 8 + 72 + 0 = 666.

It is a super-2 number, since 2×3625758720² = 26292252591312076800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43683799 + ... + 43683881.

Almost surely, 2^3625758720 is an apocalyptic number.

3625758720 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 3625758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605222400).

3625758720 is an abundant number, since it is smaller than the sum of its proper divisors (9584686080).

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

3625758720 is an equidigital number, since it uses as much as digits as its factorization.

3625758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3625758720 is about 60214.2733909494. The cubic root of 3625758720 is about 1536.2655790779.

The spelling of 3625758720 in words is "three billion, six hundred twenty-five million, seven hundred fifty-eight thousand, seven hundred twenty".