381111984 has 120 divisors (see below), whose sum is σ = 1232077392. Its totient is φ = 108687360.

The previous prime is 381111979. The next prime is 381111989. The reversal of 381111984 is 489111183.

It is an interprime number because it is at equal distance from previous prime (381111979) and next prime (381111989).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (381111989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19852 + ... + 34004.

Almost surely, 2^381111984 is an apocalyptic number.

381111984 is a gapful number since it is divisible by the number (34) 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 381111984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616038696).

381111984 is an abundant number, since it is smaller than the sum of its proper divisors (850965408).

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

381111984 is a wasteful number, since it uses less digits than its factorization.

381111984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14195 (or 14186 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 381111984 is about 19522.0896422489. The cubic root of 381111984 is about 725.0214715797.

The spelling of 381111984 in words is "three hundred eighty-one million, one hundred eleven thousand, nine hundred eighty-four".