3892045344768 has 1040 divisors, whose sum is σ = 14157822412800. Its totient is φ = 1062949257216.

The previous prime is 3892045344701. The next prime is 3892045344769. The reversal of 3892045344768 is 8674435402983.

3892045344768 is a `hidden beast` number, since 3 + 8 + 9 + 20 + 4 + 534 + 4 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892045344769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2617380121 + ... + 2617381607.

Almost surely, 2^{3892045344768} 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 3892045344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078911206400).

3892045344768 is an abundant number, since it is smaller than the sum of its proper divisors (10265777068032).

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

3892045344768 is an equidigital number, since it uses as much as digits as its factorization.

3892045344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3892045344768 in words is "three trillion, eight hundred ninety-two billion, forty-five million, three hundred forty-four thousand, seven hundred sixty-eight".