3993023755200 has 336 divisors, whose sum is σ = 13348161020160. Its totient is φ = 1044814848000.

The previous prime is 3993023755183. The next prime is 3993023755229. The reversal of 3993023755200 is 25573203993.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3993023755200.

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 47 ways as a sum of consecutive naturals, for example, 71881036 + ... + 71936564.

Almost surely, 2^{3993023755200} is an apocalyptic number.

3993023755200 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 3993023755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674080510080).

3993023755200 is an abundant number, since it is smaller than the sum of its proper divisors (9355137264960).

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

3993023755200 is a wasteful number, since it uses less digits than its factorization.

3993023755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55836 (or 55821 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 48.

The spelling of 3993023755200 in words is "three trillion, nine hundred ninety-three billion, twenty-three million, seven hundred fifty-five thousand, two hundred".