379881900 has 180 divisors, whose sum is σ = 1242901352. Its totient is φ = 100776960.

The previous prime is 379881889. The next prime is 379881911. The reversal of 379881900 is 9188973.

It is an interprime number because it is at equal distance from previous prime (379881889) and next prime (379881911).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×379881900² = 288620515895220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1968204 + ... + 1968396.

Almost surely, 2^379881900 is an apocalyptic number.

379881900 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 379881900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621450676).

379881900 is an abundant number, since it is smaller than the sum of its proper divisors (863019452).

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

379881900 is an equidigital number, since it uses as much as digits as its factorization.

379881900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 379881900 is about 19490.5592531359. The cubic root of 379881900 is about 724.2406000100.

The spelling of 379881900 in words is "three hundred seventy-nine million, eight hundred eighty-one thousand, nine hundred".