39049680 has 120 divisors (see below), whose sum is σ = 128822112. Its totient is φ = 9783296.

The previous prime is 39049679. The next prime is 39049691. The reversal of 39049680 is 8694093.

39049680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69079 + ... + 69641.

Almost surely, 2^39049680 is an apocalyptic number.

39049680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64411056).

39049680 is an abundant number, since it is smaller than the sum of its proper divisors (89772432).

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

39049680 is a wasteful number, since it uses less digits than its factorization.

39049680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 39049680 is about 6248.9743158378. The cubic root of 39049680 is about 339.2650792568.

The spelling of 39049680 in words is "thirty-nine million, forty-nine thousand, six hundred eighty".