380988 has 36 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 120096.

The previous prime is 380983. The next prime is 381001. The reversal of 380988 is 889083.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×380988² = 290303712288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380983) by changing a digit.

380988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2³⁸⁰⁹⁸⁸ is an apocalyptic number.

380988 is a gapful number since it is divisible by the number (38) 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 380988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

380988 is an abundant number, since it is smaller than the sum of its proper divisors (634572).

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

380988 is a wasteful number, since it uses less digits than its factorization.

380988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 380988 is about 617.2422539004. The cubic root of 380988 is about 72.4942841312.

The spelling of 380988 in words is "three hundred eighty thousand, nine hundred eighty-eight".