384078113760 has 96 divisors (see below), whose sum is σ = 1319832081792. Its totient is φ = 93109844480.

The previous prime is 384078113753. The next prime is 384078113761. The reversal of 384078113760 is 67311870483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384078113761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36365754 + ... + 36376313.

It is an arithmetic number, because the mean of its divisors is an integer number (13748250852).

Almost surely, 2^384078113760 is an apocalyptic number.

384078113760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384078113760 is an abundant number, since it is smaller than the sum of its proper divisors (935753968032).

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

384078113760 is a wasteful number, since it uses less digits than its factorization.

384078113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742096 (or 72742088 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 384078113760 in words is "three hundred eighty-four billion, seventy-eight million, one hundred thirteen thousand, seven hundred sixty".