3750904800 has 288 divisors, whose sum is σ = 13646626560. Its totient is φ = 994291200.

The previous prime is 3750904793. The next prime is 3750904819. The reversal of 3750904800 is 84090573.

3750904800 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 (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4557189 + ... + 4558011.

It is an arithmetic number, because the mean of its divisors is an integer number (47384120).

Almost surely, 2^3750904800 is an apocalyptic number.

3750904800 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 3750904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823313280).

3750904800 is an abundant number, since it is smaller than the sum of its proper divisors (9895721760).

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

3750904800 is a wasteful number, since it uses less digits than its factorization.

3750904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3750904800 is about 61244.6307850737. The cubic root of 3750904800 is about 1553.7411951053.

The spelling of 3750904800 in words is "three billion, seven hundred fifty million, nine hundred four thousand, eight hundred".