381406968 has 112 divisors (see below), whose sum is σ = 1135583280. Its totient is φ = 119625984.

The previous prime is 381406943. The next prime is 381406973. The reversal of 381406968 is 869604183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97221 + ... + 101067.

Almost surely, 2^381406968 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 381406968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567791640).

381406968 is an abundant number, since it is smaller than the sum of its proper divisors (754176312).

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

381406968 is a wasteful number, since it uses less digits than its factorization.

381406968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 381406968 is about 19529.6433147152. The cubic root of 381406968 is about 725.2084809868.

The spelling of 381406968 in words is "three hundred eighty-one million, four hundred six thousand, nine hundred sixty-eight".