379065600 has 162 divisors, whose sum is σ = 1355451006. Its totient is φ = 101068800.

The previous prime is 379065571. The next prime is 379065601. The reversal of 379065600 is 6560973.

It is a happy number.

379065600 is a `hidden beast` number, since 3 + 7 + 90 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 374190336 = 2208^2 + 19344^2 .

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 (379065601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54310 + ... + 60890.

Almost surely, 2^379065600 is an apocalyptic number.

379065600 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 379065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677725503).

379065600 is an abundant number, since it is smaller than the sum of its proper divisors (976385406).

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

379065600 is a wasteful number, since it uses less digits than its factorization.

379065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 379065600 is about 19469.6070838628. The cubic root of 379065600 is about 723.7214723827.

The spelling of 379065600 in words is "three hundred seventy-nine million, sixty-five thousand, six hundred".