381614880 has 96 divisors (see below), whose sum is σ = 1231469568. Its totient is φ = 99276800.

The previous prime is 381614879. The next prime is 381614887. The reversal of 381614880 is 88416183.

381614880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (381614887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9985 + ... + 29375.

It is an arithmetic number, because the mean of its divisors is an integer number (12827808).

Almost surely, 2^381614880 is an apocalyptic number.

381614880 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 381614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615734784).

381614880 is an abundant number, since it is smaller than the sum of its proper divisors (849854688).

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

381614880 is a wasteful number, since it uses less digits than its factorization.

381614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19450 (or 19442 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 381614880 is about 19534.9655745793. The cubic root of 381614880 is about 725.3402319065.

The spelling of 381614880 in words is "three hundred eighty-one million, six hundred fourteen thousand, eight hundred eighty".