39042720 has 144 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 9856512.

The previous prime is 39042713. The next prime is 39042769. The reversal of 39042720 is 2724093.

39042720 is a `hidden beast` number, since 390 + 4 + 272 + 0 = 666.

39042720 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 (144).

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, 26647 + ... + 28073.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^39042720 is an apocalyptic number.

39042720 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 39042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

39042720 is an abundant number, since it is smaller than the sum of its proper divisors (101301120).

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

39042720 is a wasteful number, since it uses less digits than its factorization.

39042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 39042720 is about 6248.4173996301. The cubic root of 39042720 is about 339.2449218125.

The spelling of 39042720 in words is "thirty-nine million, forty-two thousand, seven hundred twenty".