3745872000 has 1024 divisors, whose sum is σ = 16039296000. Its totient is φ = 851558400.

The previous prime is 3745871951. The next prime is 3745872007. The reversal of 3745872000 is 2785473.

3745872000 is a `hidden beast` number, since 3 + 74 + 587 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745872007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129167986 + ... + 129168014.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^3745872000 is an apocalyptic number.

3745872000 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 3745872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648000).

3745872000 is an abundant number, since it is smaller than the sum of its proper divisors (12293424000).

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

3745872000 is a wasteful number, since it uses less digits than its factorization.

3745872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3745872000 is about 61203.5293099998. The cubic root of 3745872000 is about 1553.0459700795.

The spelling of 3745872000 in words is "three billion, seven hundred forty-five million, eight hundred seventy-two thousand".