39642288 has 80 divisors (see below), whose sum is σ = 118087680. Its totient is φ = 11225088.

The previous prime is 39642257. The next prime is 39642299. The reversal of 39642288 is 88224693.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42208 + ... + 43136.

It is an arithmetic number, because the mean of its divisors is an integer number (1476096).

Almost surely, 2^39642288 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 39642288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043840).

39642288 is an abundant number, since it is smaller than the sum of its proper divisors (78445392).

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

39642288 is a wasteful number, since it uses less digits than its factorization.

39642288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 39642288 is about 6296.2121946453. The cubic root of 39642288 is about 340.9726703300.

The spelling of 39642288 in words is "thirty-nine million, six hundred forty-two thousand, two hundred eighty-eight".