39345696 has 192 divisors, whose sum is σ = 128701440. Its totient is φ = 11612160.

The previous prime is 39345679. The next prime is 39345697. The reversal of 39345696 is 69654393.

It is a happy number.

Its product of digits (524880) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39345697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348136 + ... + 348248.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^39345696 is an apocalyptic number.

39345696 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 39345696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

39345696 is an abundant number, since it is smaller than the sum of its proper divisors (89355744).

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

39345696 is a wasteful number, since it uses less digits than its factorization.

39345696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 39345696 is about 6272.6147657895. The cubic root of 39345696 is about 340.1201881896.

The spelling of 39345696 in words is "thirty-nine million, three hundred forty-five thousand, six hundred ninety-six".