379284111360 has 1920 divisors, whose sum is σ = 1793765191680. Its totient is φ = 73610035200.

The previous prime is 379284111359. The next prime is 379284111389. The reversal of 379284111360 is 63111482973.

379284111360 is a `hidden beast` number, since 3 + 7 + 9 + 284 + 1 + 1 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2895298495 + ... + 2895298625.

It is an arithmetic number, because the mean of its divisors is an integer number (934252704).

Almost surely, 2^379284111360 is an apocalyptic number.

379284111360 is a gapful number since it is divisible by the number (30) 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 379284111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896882595840).

379284111360 is an abundant number, since it is smaller than the sum of its proper divisors (1414481080320).

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

379284111360 is a wasteful number, since it uses less digits than its factorization.

379284111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 379284111360 in words is "three hundred seventy-nine billion, two hundred eighty-four million, one hundred eleven thousand, three hundred sixty".