379785984 has 144 divisors (see below), whose sum is σ = 1127306880. Its totient is φ = 112803840.

The previous prime is 379785953. The next prime is 379786013. The reversal of 379785984 is 489587973.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247299 + ... + 248829.

It is an arithmetic number, because the mean of its divisors is an integer number (7828520).

Almost surely, 2^379785984 is an apocalyptic number.

379785984 is a gapful number since it is divisible by the number (34) 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 379785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563653440).

379785984 is an abundant number, since it is smaller than the sum of its proper divisors (747520896).

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

379785984 is a wasteful number, since it uses less digits than its factorization.

379785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1572 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 60.

The square root of 379785984 is about 19488.0985219184. The cubic root of 379785984 is about 724.1796406182.

The spelling of 379785984 in words is "three hundred seventy-nine million, seven hundred eighty-five thousand, nine hundred eighty-four".