3840137564768 has 48 divisors (see below), whose sum is σ = 7897005156096. Its totient is φ = 1834718835840.

The previous prime is 3840137564761. The next prime is 3840137564773. The reversal of 3840137564768 is 8674657310483.

It is a self number, because there is not a number n which added to its sum of digits gives 3840137564768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840137564761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930418 + ... + 3377393.

It is an arithmetic number, because the mean of its divisors is an integer number (164520940752).

Almost surely, 2^{3840137564768} is an apocalyptic number.

It is an amenable number.

3840137564768 is an abundant number, since it is smaller than the sum of its proper divisors (4056867591328).

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

3840137564768 is a wasteful number, since it uses less digits than its factorization.

3840137564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308827 (or 5308819 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 3840137564768 in words is "three trillion, eight hundred forty billion, one hundred thirty-seven million, five hundred sixty-four thousand, seven hundred sixty-eight".