3861014459904 has 400 divisors, whose sum is σ = 13184862105888. Its totient is φ = 1101936918528.

The previous prime is 3861014459899. The next prime is 3861014459933. The reversal of 3861014459904 is 4099544101683.

3861014459904 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 0 + 1 + 44 + 599 + 0 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 283620202 + ... + 283633814.

Almost surely, 2^{3861014459904} 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 3861014459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592431052944).

3861014459904 is an abundant number, since it is smaller than the sum of its proper divisors (9323847645984).

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

3861014459904 is an equidigital number, since it uses as much as digits as its factorization.

3861014459904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14627 (or 14602 counting only the distinct ones).

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

The spelling of 3861014459904 in words is "three trillion, eight hundred sixty-one billion, fourteen million, four hundred fifty-nine thousand, nine hundred four".