379852200 has 384 divisors, whose sum is σ = 1612396800. Its totient is φ = 80040960.

The previous prime is 379852189. The next prime is 379852241. The reversal of 379852200 is 2258973.

379852200 = T₂₀ + T₂₁ + ... + T₁₃₁₅.

It is a happy number.

379852200 is a `hidden beast` number, since 379 + 85 + 2 + 200 = 666.

379852200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491014 + ... + 491786.

It is an arithmetic number, because the mean of its divisors is an integer number (4198950).

Almost surely, 2^379852200 is an apocalyptic number.

379852200 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 379852200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806198400).

379852200 is an abundant number, since it is smaller than the sum of its proper divisors (1232544600).

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

379852200 is a wasteful number, since it uses less digits than its factorization.

379852200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 379852200 is about 19489.7973309114. The cubic root of 379852200 is about 724.2217252787.

The spelling of 379852200 in words is "three hundred seventy-nine million, eight hundred fifty-two thousand, two hundred".