3752884800 has 504 divisors, whose sum is σ = 15749007872. Its totient is φ = 829440000.

The previous prime is 3752884799. The next prime is 3752884819. The reversal of 3752884800 is 84882573.

3752884800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3124200 + ... + 3125400.

Almost surely, 2^3752884800 is an apocalyptic number.

3752884800 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 3752884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874503936).

3752884800 is an abundant number, since it is smaller than the sum of its proper divisors (11996123072).

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

3752884800 is a wasteful number, since it uses less digits than its factorization.

3752884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3752884800 is about 61260.7933347259. The cubic root of 3752884800 is about 1554.0145395001.

The spelling of 3752884800 in words is "three billion, seven hundred fifty-two million, eight hundred eighty-four thousand, eight hundred".