39083968 has 126 divisors (see below), whose sum is σ = 100129848. Its totient is φ = 15079680.

The previous prime is 39083939. The next prime is 39083983. The reversal of 39083968 is 86938093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 379405 + ... + 379507.

Almost surely, 2^39083968 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 39083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50064924).

39083968 is an abundant number, since it is smaller than the sum of its proper divisors (61045880).

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

39083968 is a wasteful number, since it uses less digits than its factorization.

39083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 39083968 is about 6251.7172040968. The cubic root of 39083968 is about 339.3643486828.

The spelling of 39083968 in words is "thirty-nine million, eighty-three thousand, nine hundred sixty-eight".