39284872 has 32 divisors (see below), whose sum is σ = 81881280. Its totient is φ = 17517760.

The previous prime is 39284863. The next prime is 39284873. The reversal of 39284872 is 27848293.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (39284873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 8875.

It is an arithmetic number, because the mean of its divisors is an integer number (2558790).

Almost surely, 2^39284872 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 39284872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940640).

39284872 is an abundant number, since it is smaller than the sum of its proper divisors (42596408).

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

39284872 is a wasteful number, since it uses less digits than its factorization.

39284872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8489 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 39284872 is about 6267.7645137641. The cubic root of 39284872 is about 339.9448353407.

It can be divided in two parts, 392 and 84872, that multiplied together give a square (33269824 = 5768²).

The spelling of 39284872 in words is "thirty-nine million, two hundred eighty-four thousand, eight hundred seventy-two".