3793966124400 has 180 divisors, whose sum is σ = 13859070072120. Its totient is φ = 958475635200.

The previous prime is 3793966124363. The next prime is 3793966124411. The reversal of 3793966124400 is 44216693973.

It is a happy number.

3793966124400 is a `hidden beast` number, since 3 + 7 + 9 + 396 + 6 + 1 + 244 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27665271 + ... + 27802070.

It is an arithmetic number, because the mean of its divisors is an integer number (76994833734).

Almost surely, 2^{3793966124400} is an apocalyptic number.

3793966124400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3793966124400 is an abundant number, since it is smaller than the sum of its proper divisors (10065103947720).

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

3793966124400 is a wasteful number, since it uses less digits than its factorization.

3793966124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55467384 (or 55467370 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3793966124400 in words is "three trillion, seven hundred ninety-three billion, nine hundred sixty-six million, one hundred twenty-four thousand, four hundred".