380229120 has 160 divisors (see below), whose sum is σ = 1350851040. Its totient is φ = 101376000.

The previous prime is 380229119. The next prime is 380229139. The reversal of 380229120 is 21922083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66370 + ... + 71870.

It is an arithmetic number, because the mean of its divisors is an integer number (8442819).

Almost surely, 2^380229120 is an apocalyptic number.

380229120 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 380229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675425520).

380229120 is an abundant number, since it is smaller than the sum of its proper divisors (970621920).

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

380229120 is an equidigital number, since it uses as much as digits as its factorization.

380229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 380229120 is about 19499.4646080348. The cubic root of 380229120 is about 724.4611898332.

The spelling of 380229120 in words is "three hundred eighty million, two hundred twenty-nine thousand, one hundred twenty".