3754974412800 has 1152 divisors, whose sum is σ = 15032493796320. Its totient is φ = 923664384000.

The previous prime is 3754974412733. The next prime is 3754974412829. The reversal of 3754974412800 is 82144794573.

3754974412800 is a `hidden beast` number, since 3 + 7 + 549 + 7 + 4 + 4 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587852075 + ... + 2587853525.

Almost surely, 2^{3754974412800} is an apocalyptic number.

3754974412800 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 3754974412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516246898160).

3754974412800 is an abundant number, since it is smaller than the sum of its proper divisors (11277519383520).

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

3754974412800 is an equidigital number, since it uses as much as digits as its factorization.

3754974412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3754974412800 in words is "three trillion, seven hundred fifty-four billion, nine hundred seventy-four million, four hundred twelve thousand, eight hundred".