379182960000 has 960 divisors, whose sum is σ = 1555397363520. Its totient is φ = 87810048000.

The previous prime is 379182959999. The next prime is 379182960031. The reversal of 379182960000 is 69281973.

379182960000 is a `hidden beast` number, since 3 + 7 + 9 + 18 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159118809 + ... + 159121191.

It is an arithmetic number, because the mean of its divisors is an integer number (1620205587).

Almost surely, 2^379182960000 is an apocalyptic number.

379182960000 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 379182960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777698681760).

379182960000 is an abundant number, since it is smaller than the sum of its proper divisors (1176214403520).

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

379182960000 is a wasteful number, since it uses less digits than its factorization.

379182960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 379182960000 in words is "three hundred seventy-nine billion, one hundred eighty-two million, nine hundred sixty thousand".