3996484358400 has 1296 divisors, whose sum is σ = 15780069177600. Its totient is φ = 989364879360.

The previous prime is 3996484358389. The next prime is 3996484358411. The reversal of 3996484358400 is 48534846993.

3996484358400 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 4 + 8 + 43 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3996484358389) and next prime (3996484358411).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3945196294 + ... + 3945197306.

Almost surely, 2^{3996484358400} is an apocalyptic number.

3996484358400 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 3996484358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890034588800).

3996484358400 is an abundant number, since it is smaller than the sum of its proper divisors (11783584819200).

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

3996484358400 is a wasteful number, since it uses less digits than its factorization.

3996484358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3996484358400 in words is "three trillion, nine hundred ninety-six billion, four hundred eighty-four million, three hundred fifty-eight thousand, four hundred".