379918000 has 160 divisors (see below), whose sum is σ = 1145783808. Its totient is φ = 118368000.

The previous prime is 379917983. The next prime is 379918001. The reversal of 379918000 is 819973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379918001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152767 + ... + 155233.

Almost surely, 2^379918000 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 379918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572891904).

379918000 is an abundant number, since it is smaller than the sum of its proper divisors (765865808).

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

379918000 is a wasteful number, since it uses less digits than its factorization.

379918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 379918000 is about 19491.4853205188. The cubic root of 379918000 is about 724.2635406990.

The spelling of 379918000 in words is "three hundred seventy-nine million, nine hundred eighteen thousand".