3745255924800 has 336 divisors, whose sum is σ = 14703066026880. Its totient is φ = 921909012480.

The previous prime is 3745255924789. The next prime is 3745255924807. The reversal of 3745255924800 is 84295525473.

3745255924800 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 2 + 5 + 592 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3745255924807) by changing a digit.

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, 2772852 + ... + 3896051.

It is an arithmetic number, because the mean of its divisors is an integer number (43759125080).

Almost surely, 2^{3745255924800} is an apocalyptic number.

3745255924800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3745255924800 is an abundant number, since it is smaller than the sum of its proper divisors (10957810102080).

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

3745255924800 is a wasteful number, since it uses less digits than its factorization.

3745255924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668947 (or 6668926 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 3745255924800 in words is "three trillion, seven hundred forty-five billion, two hundred fifty-five million, nine hundred twenty-four thousand, eight hundred".