39768288 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 10391040.

The previous prime is 39768277. The next prime is 39768299. The reversal of 39768288 is 88286793.

It is an interprime number because it is at equal distance from previous prime (39768277) and next prime (39768299).

It is a self number, because there is not a number n which added to its sum of digits gives 39768288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479095 + ... + 479177.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^39768288 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 39768288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

39768288 is an abundant number, since it is smaller than the sum of its proper divisors (90287904).

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

39768288 is a wasteful number, since it uses less digits than its factorization.

39768288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 39768288 is about 6306.2102724219. The cubic root of 39768288 is about 341.3335401746. Note that the first 3 decimals are identical.

The spelling of 39768288 in words is "thirty-nine million, seven hundred sixty-eight thousand, two hundred eighty-eight".