379339200 has 210 divisors, whose sum is σ = 1394831856. Its totient is φ = 101122560.

The previous prime is 379339159. The next prime is 379339211. The reversal of 379339200 is 2933973.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128137 + ... + 131063.

Almost surely, 2^379339200 is an apocalyptic number.

379339200 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 379339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697415928).

379339200 is an abundant number, since it is smaller than the sum of its proper divisors (1015492656).

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

379339200 is a wasteful number, since it uses less digits than its factorization.

379339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 379339200 is about 19476.6321524025. The cubic root of 379339200 is about 723.8955518158.

The spelling of 379339200 in words is "three hundred seventy-nine million, three hundred thirty-nine thousand, two hundred".