381320808 has 64 divisors (see below), whose sum is σ = 1042096320. Its totient is φ = 115315200.

The previous prime is 381320789. The next prime is 381320809. The reversal of 381320808 is 808023183.

It is a super-2 number, since 2×381320808² = 290811117227545728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (381320809) 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, 161718 + ... + 164058.

It is an arithmetic number, because the mean of its divisors is an integer number (16282755).

Almost surely, 2^381320808 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 381320808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521048160).

381320808 is an abundant number, since it is smaller than the sum of its proper divisors (660775512).

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

381320808 is a wasteful number, since it uses less digits than its factorization.

381320808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 381320808 is about 19527.4373126634. The cubic root of 381320808 is about 725.1538685705.

The spelling of 381320808 in words is "three hundred eighty-one million, three hundred twenty thousand, eight hundred eight".