379812144096 has 480 divisors, whose sum is σ = 1395235860480. Its totient is φ = 98469043200.

The previous prime is 379812144091. The next prime is 379812144137. The reversal of 379812144096 is 690441218973.

379812144096 is a `hidden beast` number, since 3 + 7 + 98 + 1 + 21 + 440 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379812144091) 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, 131923585 + ... + 131926463.

It is an arithmetic number, because the mean of its divisors is an integer number (2906741376).

Almost surely, 2^379812144096 is an apocalyptic number.

379812144096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379812144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697617930240).

379812144096 is an abundant number, since it is smaller than the sum of its proper divisors (1015423716384).

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

379812144096 is a wasteful number, since it uses less digits than its factorization.

379812144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 379812144096 in words is "three hundred seventy-nine billion, eight hundred twelve million, one hundred forty-four thousand, ninety-six".