3750988800 has 594 divisors, whose sum is σ = 14260310868. Its totient is φ = 869007360.

The previous prime is 3750988781. The next prime is 3750988867. The reversal of 3750988800 is 88890573.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3750988800.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 220646392 + ... + 220646408.

Almost surely, 2^3750988800 is an apocalyptic number.

3750988800 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 3750988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130155434).

3750988800 is an abundant number, since it is smaller than the sum of its proper divisors (10509322068).

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

3750988800 is a wasteful number, since it uses less digits than its factorization.

3750988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 3750988800 is about 61245.3165556355. The cubic root of 3750988800 is about 1553.7527934878.

Multiplying 3750988800 by its sum of digits (48), we get a square (180047462400 = 424320²).

3750988800 divided by its sum of digits (48) gives a square (78145600 = 8840²).

The spelling of 3750988800 in words is "three billion, seven hundred fifty million, nine hundred eighty-eight thousand, eight hundred".