3744749990800 has 720 divisors, whose sum is σ = 11728987963392. Its totient is φ = 1137585254400.

The previous prime is 3744749990753. The next prime is 3744749990819. The reversal of 3744749990800 is 80999474473.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1003145734 + ... + 1003149466.

Almost surely, 2^{3744749990800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744749990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864493981696).

3744749990800 is an abundant number, since it is smaller than the sum of its proper divisors (7984237972592).

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

3744749990800 is a wasteful number, since it uses less digits than its factorization.

3744749990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 3744749990800 in words is "three trillion, seven hundred forty-four billion, seven hundred forty-nine million, nine hundred ninety thousand, eight hundred".