39384768 has 28 divisors (see below), whose sum is σ = 104206040. Its totient is φ = 13128192.

The previous prime is 39384749. The next prime is 39384769. The reversal of 39384768 is 86748393.

It is a super-3 number, since 3×39384768³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (39384769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102373 + ... + 102756.

Almost surely, 2^39384768 is an apocalyptic number.

It is an amenable number.

39384768 is an abundant number, since it is smaller than the sum of its proper divisors (64821272).

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

39384768 is a wasteful number, since it uses less digits than its factorization.

39384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205144 (or 205134 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 39384768 is about 6275.7284836105. The cubic root of 39384768 is about 340.2327356925.

The spelling of 39384768 in words is "thirty-nine million, three hundred eighty-four thousand, seven hundred sixty-eight".