379313035920 has 640 divisors, whose sum is σ = 1618029772800. Its totient is φ = 79533176832.

The previous prime is 379313035909. The next prime is 379313035949. The reversal of 379313035920 is 29530313973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32033361 + ... + 32045199.

It is an arithmetic number, because the mean of its divisors is an integer number (2528171520).

Almost surely, 2^379313035920 is an apocalyptic number.

379313035920 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 379313035920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809014886400).

379313035920 is an abundant number, since it is smaller than the sum of its proper divisors (1238716736880).

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

379313035920 is a wasteful number, since it uses less digits than its factorization.

379313035920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12044 (or 12032 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The spelling of 379313035920 in words is "three hundred seventy-nine billion, three hundred thirteen million, thirty-five thousand, nine hundred twenty".