379590400 has 216 divisors, whose sum is σ = 1107602720. Its totient is φ = 126074880.

The previous prime is 379590389. The next prime is 379590401. The reversal of 379590400 is 4095973.

379590400 = T₃₁₄₄ + T₃₁₄₅ + ... + T₃₂₁₈.

379590400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 379590400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379590401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657486 + ... + 1657714.

Almost surely, 2^379590400 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 379590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553801360).

379590400 is an abundant number, since it is smaller than the sum of its proper divisors (728012320).

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

379590400 is a wasteful number, since it uses less digits than its factorization.

379590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 379590400 is about 19483.0798386703. The cubic root of 379590400 is about 724.0553054422.

The spelling of 379590400 in words is "three hundred seventy-nine million, five hundred ninety thousand, four hundred".