379008241344 has 224 divisors, whose sum is σ = 1241850297600. Its totient is φ = 112646246400.

The previous prime is 379008241343. The next prime is 379008241351. The reversal of 379008241344 is 443142800973.

379008241344 is a `hidden beast` number, since 37 + 90 + 0 + 82 + 413 + 44 = 666.

It is a super-3 number, since 3×379008241344³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 379008241344.

It is not an unprimeable number, because it can be changed into a prime (379008241343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218619 + ... + 897669.

Almost surely, 2^379008241344 is an apocalyptic number.

379008241344 is a gapful number since it is divisible by the number (34) 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 379008241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620925148800).

379008241344 is an abundant number, since it is smaller than the sum of its proper divisors (862842056256).

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

379008241344 is a wasteful number, since it uses less digits than its factorization.

379008241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679108 (or 679092 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 379008241344 in words is "three hundred seventy-nine billion, eight million, two hundred forty-one thousand, three hundred forty-four".