3625090560 has 1080 divisors, whose sum is σ = 16646624280. Its totient is φ = 724598784.

The previous prime is 3625090519. The next prime is 3625090643. The reversal of 3625090560 is 650905263.

3625090560 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 0 + 90 + 560 = 666.

It is a super-2 number, since 2×3625090560² = 26282563136402227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190794231 + ... + 190794249.

It is an arithmetic number, because the mean of its divisors is an integer number (15413541).

Almost surely, 2^3625090560 is an apocalyptic number.

3625090560 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 3625090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323312140).

3625090560 is an abundant number, since it is smaller than the sum of its proper divisors (13021533720).

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

3625090560 is a wasteful number, since it uses less digits than its factorization.

3625090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3625090560 is about 60208.7249491301. The cubic root of 3625090560 is about 1536.1712048749.

The spelling of 3625090560 in words is "three billion, six hundred twenty-five million, ninety thousand, five hundred sixty".