382107936 has 96 divisors (see below), whose sum is σ = 1206696960. Its totient is φ = 103424256.

The previous prime is 382107923. The next prime is 382107949. The reversal of 382107936 is 639701283.

It is an interprime number because it is at equal distance from previous prime (382107923) and next prime (382107949).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 382107894 and 382107903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2196 + ... + 27731.

It is an arithmetic number, because the mean of its divisors is an integer number (12569760).

Almost surely, 2^382107936 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 382107936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603348480).

382107936 is an abundant number, since it is smaller than the sum of its proper divisors (824589024).

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

382107936 is a wasteful number, since it uses less digits than its factorization.

382107936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29966 (or 29958 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 382107936 is about 19547.5813337610. The cubic root of 382107936 is about 725.6524833925.

The spelling of 382107936 in words is "three hundred eighty-two million, one hundred seven thousand, nine hundred thirty-six".