39280752 has 180 divisors, whose sum is σ = 135069480. Its totient is φ = 10596096.

The previous prime is 39280741. The next prime is 39280753. The reversal of 39280752 is 25708293.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39280753) 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 35 ways as a sum of consecutive naturals, for example, 133918 + ... + 134210.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^39280752 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 39280752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534740).

39280752 is an abundant number, since it is smaller than the sum of its proper divisors (95788728).

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

39280752 is a wasteful number, since it uses less digits than its factorization.

39280752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 39280752 is about 6267.4358393206. The cubic root of 39280752 is about 339.9329510231.

The spelling of 39280752 in words is "thirty-nine million, two hundred eighty thousand, seven hundred fifty-two".