381703920 has 320 divisors, whose sum is σ = 1379911680. Its totient is φ = 86482944.

The previous prime is 381703919. The next prime is 381703921. The reversal of 381703920 is 29307183.

It is an interprime number because it is at equal distance from previous prime (381703919) and next prime (381703921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381703921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2786092 + ... + 2786228.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^381703920 is an apocalyptic number.

381703920 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 381703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689955840).

381703920 is an abundant number, since it is smaller than the sum of its proper divisors (998207760).

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

381703920 is a wasteful number, since it uses less digits than its factorization.

381703920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 381703920 is about 19537.2444321097. The cubic root of 381703920 is about 725.3966406711.

The spelling of 381703920 in words is "three hundred eighty-one million, seven hundred three thousand, nine hundred twenty".