39042168 has 64 divisors (see below), whose sum is σ = 109105920. Its totient is φ = 11539200.

The previous prime is 39042161. The next prime is 39042193. The reversal of 39042168 is 86124093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39042161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9021 + ... + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 2^39042168 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 39042168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552960).

39042168 is an abundant number, since it is smaller than the sum of its proper divisors (70063752).

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

39042168 is a wasteful number, since it uses less digits than its factorization.

39042168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 39042168 is about 6248.3732282891. The cubic root of 39042168 is about 339.2433230161.

The spelling of 39042168 in words is "thirty-nine million, forty-two thousand, one hundred sixty-eight".