379507396829184 has 1344 divisors, whose sum is σ = 1268266023198720. Its totient is φ = 112609339637760.

The previous prime is 379507396829173. The next prime is 379507396829189. The reversal of 379507396829184 is 481928693705973.

379507396829184 is a `hidden beast` number, since 3 + 7 + 9 + 507 + 3 + 9 + 6 + 8 + 29 + 1 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379507396829189) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294420012412 + ... + 294420013700.

It is an arithmetic number, because the mean of its divisors is an integer number (943650314880).

It is a 1-persistent number, because it is pandigital, but 2⋅379507396829184 = 759014793658368 is not.

Almost surely, 2^{379507396829184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379507396829184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634133011599360).

379507396829184 is an abundant number, since it is smaller than the sum of its proper divisors (888758626369536).

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

379507396829184 is a wasteful number, since it uses less digits than its factorization.

379507396829184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 379507396829184 in words is "three hundred seventy-nine trillion, five hundred seven billion, three hundred ninety-six million, eight hundred twenty-nine thousand, one hundred eighty-four".