379081200 has 120 divisors (see below), whose sum is σ = 1226512768. Its totient is φ = 100074240.

The previous prime is 379081187. The next prime is 379081201. The reversal of 379081200 is 2180973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379081201) 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, 122067 + ... + 125133.

Almost surely, 2^379081200 is an apocalyptic number.

379081200 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 379081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613256384).

379081200 is an abundant number, since it is smaller than the sum of its proper divisors (847431568).

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

379081200 is a wasteful number, since it uses less digits than its factorization.

379081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 379081200 is about 19470.0077041587. The cubic root of 379081200 is about 723.7314002158.

The spelling of 379081200 in words is "three hundred seventy-nine million, eighty-one thousand, two hundred".