39516834 has 48 divisors (see below), whose sum is σ = 92471328. Its totient is φ = 11225088.

The previous prime is 39516811. The next prime is 39516839. The reversal of 39516834 is 43861593.

It is a junction number, because it is equal to n+sod(n) for n = 39516792 and 39516801.

It is not an unprimeable number, because it can be changed into a prime (39516839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75297 + ... + 75819.

It is an arithmetic number, because the mean of its divisors is an integer number (1926486).

Almost surely, 2^39516834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39516834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46235664).

39516834 is an abundant number, since it is smaller than the sum of its proper divisors (52954494).

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

39516834 is a wasteful number, since it uses less digits than its factorization.

39516834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 39516834 is about 6286.2416434623. The cubic root of 39516834 is about 340.6126037517.

The spelling of 39516834 in words is "thirty-nine million, five hundred sixteen thousand, eight hundred thirty-four".