3625882560 has 168 divisors, whose sum is σ = 12776124816. Its totient is φ = 943288320.

The previous prime is 3625882487. The next prime is 3625882567. The reversal of 3625882560 is 652885263.

3625882560 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 8 + 82 + 560 = 666.

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 not an unprimeable number, because it can be changed into a prime (3625882567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102727 + ... + 133433.

It is an arithmetic number, because the mean of its divisors is an integer number (76048362).

Almost surely, 2^3625882560 is an apocalyptic number.

3625882560 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 3625882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388062408).

3625882560 is an abundant number, since it is smaller than the sum of its proper divisors (9150242256).

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

3625882560 is a wasteful number, since it uses less digits than its factorization.

3625882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30771 (or 30758 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3625882560 is about 60215.3017097814. The cubic root of 3625882560 is about 1536.2830695747.

The spelling of 3625882560 in words is "three billion, six hundred twenty-five million, eight hundred eighty-two thousand, five hundred sixty".