379600 has 60 divisors (see below), whose sum is σ = 995596. Its totient is φ = 138240.

The previous prime is 379597. The next prime is 379607. The reversal of 379600 is 6973.

379600 = T₁₀₁ + T₁₀₂ + ... + T₁₄₈.

379600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 345744 = 184^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379600.

It is not an unprimeable number, because it can be changed into a prime (379607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5164 + ... + 5236.

2³⁷⁹⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497798).

379600 is an abundant number, since it is smaller than the sum of its proper divisors (615996).

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

379600 is a wasteful number, since it uses less digits than its factorization.

379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 379600 is about 616.1168720300. The cubic root of 379600 is about 72.4061409278.

It can be divided in two parts, 379 and 600, that added together give a palindrome (979).

The spelling of 379600 in words is "three hundred seventy-nine thousand, six hundred".