379663200 has 576 divisors, whose sum is σ = 1639895040. Its totient is φ = 83980800.

The previous prime is 379663153. The next prime is 379663201. The reversal of 379663200 is 2366973.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379663201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12247185 + ... + 12247215.

It is an arithmetic number, because the mean of its divisors is an integer number (2847040).

Almost surely, 2^379663200 is an apocalyptic number.

379663200 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 379663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819947520).

379663200 is an abundant number, since it is smaller than the sum of its proper divisors (1260231840).

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

379663200 is an equidigital number, since it uses as much as digits as its factorization.

379663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 379663200 is about 19484.9480368822. The cubic root of 379663200 is about 724.1015902945.

The spelling of 379663200 in words is "three hundred seventy-nine million, six hundred sixty-three thousand, two hundred".