379365600 has 144 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 97881600.

The previous prime is 379365587. The next prime is 379365607. The reversal of 379365600 is 6563973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379365607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71851 + ... + 76949.

It is an arithmetic number, because the mean of its divisors is an integer number (8853600).

Almost surely, 2^379365600 is an apocalyptic number.

379365600 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 379365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

379365600 is an abundant number, since it is smaller than the sum of its proper divisors (895552800).

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

379365600 is a wasteful number, since it uses less digits than its factorization.

379365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 379365600 is about 19477.3098758530. The cubic root of 379365600 is about 723.9123445256.

The spelling of 379365600 in words is "three hundred seventy-nine million, three hundred sixty-five thousand, six hundred".