379363200 has 192 divisors, whose sum is σ = 1279977600. Its totient is φ = 98703360.

The previous prime is 379363121. The next prime is 379363307. The reversal of 379363200 is 2363973.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412341 + ... + 413259.

It is an arithmetic number, because the mean of its divisors is an integer number (6666550).

Almost surely, 2^379363200 is an apocalyptic number.

379363200 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 379363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639988800).

379363200 is an abundant number, since it is smaller than the sum of its proper divisors (900614400).

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

379363200 is a wasteful number, since it uses less digits than its factorization.

379363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 379363200 is about 19477.2482656047. The cubic root of 379363200 is about 723.9108179478.

The spelling of 379363200 in words is "three hundred seventy-nine million, three hundred sixty-three thousand, two hundred".