381084768 has 72 divisors (see below), whose sum is σ = 1087959600. Its totient is φ = 126530304.

The previous prime is 381084757. The next prime is 381084797. The reversal of 381084768 is 867480183.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×381084768² = 290451200803227648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75013 + ... + 79931.

It is an arithmetic number, because the mean of its divisors is an integer number (15110550).

Almost surely, 2^381084768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543979800).

381084768 is an abundant number, since it is smaller than the sum of its proper divisors (706874832).

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

381084768 is a wasteful number, since it uses less digits than its factorization.

381084768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 381084768 is about 19521.3925732771. The cubic root of 381084768 is about 725.0042127381.

The spelling of 381084768 in words is "three hundred eighty-one million, eighty-four thousand, seven hundred sixty-eight".