3994731820800 has 3888 divisors, whose sum is σ = 18931338316800. Its totient is φ = 827714764800.

The previous prime is 3994731820787. The next prime is 3994731820841. The reversal of 3994731820800 is 80281374993.

3994731820800 is a `hidden beast` number, since 3 + 99 + 473 + 1 + 8 + 2 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×3994731820800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 44884627156 + ... + 44884627244.

Almost surely, 2^{3994731820800} is an apocalyptic number.

3994731820800 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 3994731820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465669158400).

3994731820800 is an abundant number, since it is smaller than the sum of its proper divisors (14936606496000).

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

3994731820800 is a wasteful number, since it uses less digits than its factorization.

3994731820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3994731820800 in words is "three trillion, nine hundred ninety-four billion, seven hundred thirty-one million, eight hundred twenty thousand, eight hundred".