3745996800 has 672 divisors, whose sum is σ = 15471843072. Its totient is φ = 778567680.

The previous prime is 3745996783. The next prime is 3745996819. The reversal of 3745996800 is 86995473.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3745996800² = 28064984051220480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55910367 + ... + 55910433.

It is an arithmetic number, because the mean of its divisors is an integer number (23023576).

Almost surely, 2^3745996800 is an apocalyptic number.

3745996800 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 3745996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735921536).

3745996800 is an abundant number, since it is smaller than the sum of its proper divisors (11725846272).

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

3745996800 is a wasteful number, since it uses less digits than its factorization.

3745996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3745996800 is about 61204.5488505552. The cubic root of 3745996800 is about 1553.0632173306.

The spelling of 3745996800 in words is "three billion, seven hundred forty-five million, nine hundred ninety-six thousand, eight hundred".