381061920 has 96 divisors (see below), whose sum is σ = 1239114240. Its totient is φ = 98334720.

The previous prime is 381061909. The next prime is 381061921. The reversal of 381061920 is 29160183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (381061921) 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 15 ways as a sum of consecutive naturals, for example, 2076 + ... + 27684.

It is an arithmetic number, because the mean of its divisors is an integer number (12907440).

Almost surely, 2^381061920 is an apocalyptic number.

381061920 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 381061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619557120).

381061920 is an abundant number, since it is smaller than the sum of its proper divisors (858052320).

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

381061920 is a wasteful number, since it uses less digits than its factorization.

381061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25658 (or 25650 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 381061920 is about 19520.8073603527. The cubic root of 381061920 is about 724.9897231996.

The spelling of 381061920 in words is "three hundred eighty-one million, sixty-one thousand, nine hundred twenty".