379305588480 has 1152 divisors, whose sum is σ = 1603909859328. Its totient is φ = 74119643136.

The previous prime is 379305588457. The next prime is 379305588481. The reversal of 379305588480 is 84885503973.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379305588481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398011684 + ... + 398012636.

It is an arithmetic number, because the mean of its divisors is an integer number (1392282864).

Almost surely, 2^379305588480 is an apocalyptic number.

379305588480 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 379305588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801954929664).

379305588480 is an abundant number, since it is smaller than the sum of its proper divisors (1224604270848).

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

379305588480 is a wasteful number, since it uses less digits than its factorization.

379305588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 379305588480 in words is "three hundred seventy-nine billion, three hundred five million, five hundred eighty-eight thousand, four hundred eighty".