3745328875200 has 756 divisors, whose sum is σ = 14769442429560. Its totient is φ = 899428147200.

The previous prime is 3745328875111. The next prime is 3745328875207. The reversal of 3745328875200 is 25788235473.

3745328875200 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 32 + 8 + 87 + 520 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3745328875207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 186426756 + ... + 186446844.

It is an arithmetic number, because the mean of its divisors is an integer number (19536299510).

Almost surely, 2^{3745328875200} is an apocalyptic number.

3745328875200 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 3745328875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384721214780).

3745328875200 is an abundant number, since it is smaller than the sum of its proper divisors (11024113554360).

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

3745328875200 is a wasteful number, since it uses less digits than its factorization.

3745328875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 3745328875200 in words is "three trillion, seven hundred forty-five billion, three hundred twenty-eight million, eight hundred seventy-five thousand, two hundred".