379105200 has 360 divisors, whose sum is σ = 1407211520. Its totient is φ = 94348800.

The previous prime is 379105193. The next prime is 379105211. The reversal of 379105200 is 2501973.

379105200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4798761 + ... + 4798839.

Almost surely, 2^379105200 is an apocalyptic number.

379105200 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 379105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703605760).

379105200 is an abundant number, since it is smaller than the sum of its proper divisors (1028106320).

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

379105200 is a wasteful number, since it uses less digits than its factorization.

379105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 379105200 is about 19470.6240269797. The cubic root of 379105200 is about 723.7466732735.

The spelling of 379105200 in words is "three hundred seventy-nine million, one hundred five thousand, two hundred".