3844692768840 has 256 divisors, whose sum is σ = 14514547230720. Its totient is φ = 791430666240.

The previous prime is 3844692768823. The next prime is 3844692768857. The reversal of 3844692768840 is 488672964483.

It is an interprime number because it is at equal distance from previous prime (3844692768823) and next prime (3844692768857).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955677 + ... + 2933036.

It is an arithmetic number, because the mean of its divisors is an integer number (56697450120).

Almost surely, 2^{3844692768840} is an apocalyptic number.

3844692768840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3844692768840 is an abundant number, since it is smaller than the sum of its proper divisors (10669854461880).

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

3844692768840 is a wasteful number, since it uses less digits than its factorization.

3844692768840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888852 (or 3888848 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 3844692768840 in words is "three trillion, eight hundred forty-four billion, six hundred ninety-two million, seven hundred sixty-eight thousand, eight hundred forty".