379875841390080 has 1920 divisors, whose sum is σ = 1680076342517760. Its totient is φ = 79604183531520.

The previous prime is 379875841390079. The next prime is 379875841390117. The reversal of 379875841390080 is 80093148578973.

379875841390080 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 7 + 584 + 1 + 39 + 0 + 0 + 8 + 0 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 379875841389990 and 379875841390008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5414618362 + ... + 5414688518.

It is an arithmetic number, because the mean of its divisors is an integer number (875039761728).

Almost surely, 2^{379875841390080} is an apocalyptic number.

379875841390080 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 379875841390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840038171258880).

379875841390080 is an abundant number, since it is smaller than the sum of its proper divisors (1300200501127680).

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

379875841390080 is a wasteful number, since it uses less digits than its factorization.

379875841390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70265 (or 70224 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 379875841390080 in words is "three hundred seventy-nine trillion, eight hundred seventy-five billion, eight hundred forty-one million, three hundred ninety thousand, eighty".