381124320 has 48 divisors (see below), whose sum is σ = 1200543120. Its totient is φ = 101633024.

The previous prime is 381124319. The next prime is 381124321. The reversal of 381124320 is 23421183.

381124320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381124319) and next prime (381124321).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381124321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396525 + ... + 397484.

It is an arithmetic number, because the mean of its divisors is an integer number (25011315).

Almost surely, 2^381124320 is an apocalyptic number.

381124320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381124320 is an abundant number, since it is smaller than the sum of its proper divisors (819418800).

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

381124320 is a wasteful number, since it uses less digits than its factorization.

381124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794027 (or 794019 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 381124320 is about 19522.4055894759. The cubic root of 381124320 is about 725.0292940997.

The spelling of 381124320 in words is "three hundred eighty-one million, one hundred twenty-four thousand, three hundred twenty".