381680964 has 96 divisors (see below), whose sum is σ = 1135223040. Its totient is φ = 108635904.

The previous prime is 381680951. The next prime is 381680989. The reversal of 381680964 is 469086183.

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 31 ways as a sum of consecutive naturals, for example, 235822 + ... + 237434.

It is an arithmetic number, because the mean of its divisors is an integer number (11825240).

Almost surely, 2^381680964 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 381680964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567611520).

381680964 is an abundant number, since it is smaller than the sum of its proper divisors (753542076).

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

381680964 is a wasteful number, since it uses less digits than its factorization.

381680964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

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

The square root of 381680964 is about 19536.6569299868. The cubic root of 381680964 is about 725.3820983883.

The spelling of 381680964 in words is "three hundred eighty-one million, six hundred eighty thousand, nine hundred sixty-four".