379842600 has 96 divisors (see below), whose sum is σ = 1182201120. Its totient is φ = 100888320.

The previous prime is 379842599. The next prime is 379842601. The reversal of 379842600 is 6248973.

It is an interprime number because it is at equal distance from previous prime (379842599) and next prime (379842601).

It is not an unprimeable number, because it can be changed into a prime (379842601) 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 23 ways as a sum of consecutive naturals, for example, 168682 + ... + 170918.

It is an arithmetic number, because the mean of its divisors is an integer number (12314595).

Almost surely, 2^379842600 is an apocalyptic number.

379842600 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 379842600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591100560).

379842600 is an abundant number, since it is smaller than the sum of its proper divisors (802358520).

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

379842600 is a wasteful number, since it uses less digits than its factorization.

379842600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 379842600 is about 19489.5510466506. The cubic root of 379842600 is about 724.2156241450.

The spelling of 379842600 in words is "three hundred seventy-nine million, eight hundred forty-two thousand, six hundred".