379421521920 has 1344 divisors, whose sum is σ = 1600988276160. Its totient is φ = 84467515392.

The previous prime is 379421521909. The next prime is 379421521931. The reversal of 379421521920 is 29125124973.

379421521920 is a `hidden beast` number, since 3 + 7 + 9 + 421 + 5 + 219 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (379421521909) and next prime (379421521931).

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2769500092 + ... + 2769500228.

It is an arithmetic number, because the mean of its divisors is an integer number (1191211515).

Almost surely, 2^379421521920 is an apocalyptic number.

379421521920 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 379421521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800494138080).

379421521920 is an abundant number, since it is smaller than the sum of its proper divisors (1221566754240).

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

379421521920 is an equidigital number, since it uses as much as digits as its factorization.

379421521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 379421521920 in words is "three hundred seventy-nine billion, four hundred twenty-one million, five hundred twenty-one thousand, nine hundred twenty".