3984831590400 has 624 divisors, whose sum is σ = 14996249241120. Its totient is φ = 1036674662400.

The previous prime is 3984831590393. The next prime is 3984831590413. The reversal of 3984831590400 is 40951384893.

3984831590400 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 8 + 3 + 1 + 590 + 40 + 0 = 666.

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

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, 113339224 + ... + 113374376.

Almost surely, 2^{3984831590400} is an apocalyptic number.

3984831590400 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 3984831590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498124620560).

3984831590400 is an abundant number, since it is smaller than the sum of its proper divisors (11011417650720).

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

3984831590400 is a wasteful number, since it uses less digits than its factorization.

3984831590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35237 (or 35204 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3984831590400 in words is "three trillion, nine hundred eighty-four billion, eight hundred thirty-one million, five hundred ninety thousand, four hundred".