3986731238400 has 792 divisors, whose sum is σ = 14938744377024. Its totient is φ = 1013922201600.

The previous prime is 3986731238393. The next prime is 3986731238417. The reversal of 3986731238400 is 48321376893.

3986731238400 is a `hidden beast` number, since 39 + 86 + 7 + 3 + 123 + 8 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2230962307 + ... + 2230964093.

Almost surely, 2^{3986731238400} is an apocalyptic number.

3986731238400 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 3986731238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469372188512).

3986731238400 is an abundant number, since it is smaller than the sum of its proper divisors (10952013138624).

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

3986731238400 is a wasteful number, since it uses less digits than its factorization.

3986731238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3986731238400 in words is "three trillion, nine hundred eighty-six billion, seven hundred thirty-one million, two hundred thirty-eight thousand, four hundred".