39361968 has 120 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 12472320.

The previous prime is 39361967. The next prime is 39361991. The reversal of 39361968 is 86916393.

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

It is not an unprimeable number, because it can be changed into a prime (39361967) 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, 348280 + ... + 348392.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 2^39361968 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 39361968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

39361968 is an abundant number, since it is smaller than the sum of its proper divisors (76411872).

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

39361968 is a wasteful number, since it uses less digits than its factorization.

39361968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

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

The square root of 39361968 is about 6273.9116984542. The cubic root of 39361968 is about 340.1670689880.

The spelling of 39361968 in words is "thirty-nine million, three hundred sixty-one thousand, nine hundred sixty-eight".