380190000 has 400 divisors, whose sum is σ = 1394553600. Its totient is φ = 88704000.

The previous prime is 380189993. The next prime is 380190011. The reversal of 380190000 is 91083.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×380190000² = 289088872200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13109986 + ... + 13110014.

It is an arithmetic number, because the mean of its divisors is an integer number (3486384).

Almost surely, 2^380190000 is an apocalyptic number.

380190000 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 380190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697276800).

380190000 is an abundant number, since it is smaller than the sum of its proper divisors (1014363600).

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

380190000 is a wasteful number, since it uses less digits than its factorization.

380190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 380190000 is about 19498.4614777679. The cubic root of 380190000 is about 724.4363435039.

The spelling of 380190000 in words is "three hundred eighty million, one hundred ninety thousand".