381288096 has 144 divisors (see below), whose sum is σ = 1279369728. Its totient is φ = 105408000.

The previous prime is 381288073. The next prime is 381288101. The reversal of 381288096 is 690882183.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×381288096² = 290761224302610432, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59446 + ... + 65546.

It is an arithmetic number, because the mean of its divisors is an integer number (8884512).

Almost surely, 2^381288096 is an apocalyptic number.

381288096 is a gapful number since it is divisible by the number (36) 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 381288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639684864).

381288096 is an abundant number, since it is smaller than the sum of its proper divisors (898081632).

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

381288096 is a wasteful number, since it uses less digits than its factorization.

381288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 381288096 is about 19526.5997039935. The cubic root of 381288096 is about 725.1331319526.

The spelling of 381288096 in words is "three hundred eighty-one million, two hundred eighty-eight thousand, ninety-six".