3986748416000 has 896 divisors, whose sum is σ = 12164542640640. Its totient is φ = 1274019840000.

The previous prime is 3986748415873. The next prime is 3986748416029. The reversal of 3986748416000 is 6148476893.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9942015800 + ... + 9942016200.

Almost surely, 2^{3986748416000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986748416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082271320320).

3986748416000 is an abundant number, since it is smaller than the sum of its proper divisors (8177794224640).

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

3986748416000 is an equidigital number, since it uses as much as digits as its factorization.

3986748416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 3986748416000 in words is "three trillion, nine hundred eighty-six billion, seven hundred forty-eight million, four hundred sixteen thousand".