3625128000 has 448 divisors, whose sum is σ = 14334378240. Its totient is φ = 891648000.

The previous prime is 3625127999. The next prime is 3625128061. The reversal of 3625128000 is 8215263.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807355 + ... + 2808645.

It is an arithmetic number, because the mean of its divisors is an integer number (31996380).

Almost surely, 2^3625128000 is an apocalyptic number.

3625128000 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 3625128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167189120).

3625128000 is an abundant number, since it is smaller than the sum of its proper divisors (10709250240).

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

3625128000 is a wasteful number, since it uses less digits than its factorization.

3625128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3625128000 is about 60209.0358667202. The cubic root of 3625128000 is about 1536.1764933912.

The spelling of 3625128000 in words is "three billion, six hundred twenty-five million, one hundred twenty-eight thousand".