39316896 has 72 divisors (see below), whose sum is σ = 112510944. Its totient is φ = 13023360.

The previous prime is 39316883. The next prime is 39316919. The reversal of 39316896 is 69861393.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×39316896³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60445 + ... + 61091.

It is an arithmetic number, because the mean of its divisors is an integer number (1562652).

Almost surely, 2^39316896 is an apocalyptic number.

39316896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255472).

39316896 is an abundant number, since it is smaller than the sum of its proper divisors (73194048).

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

39316896 is a wasteful number, since it uses less digits than its factorization.

39316896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 39316896 is about 6270.3186521899. The cubic root of 39316896 is about 340.0371816316.

The spelling of 39316896 in words is "thirty-nine million, three hundred sixteen thousand, eight hundred ninety-six".