39912768 has 168 divisors, whose sum is σ = 137891520. Its totient is φ = 10782720.

The previous prime is 39912767. The next prime is 39912793. The reversal of 39912768 is 86721993.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39912767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76348 + ... + 76868.

Almost surely, 2^39912768 is an apocalyptic number.

39912768 is a gapful number since it is divisible by the number (38) 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 39912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68945760).

39912768 is an abundant number, since it is smaller than the sum of its proper divisors (97978752).

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

39912768 is a wasteful number, since it uses less digits than its factorization.

39912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 39912768 is about 6317.6552612500. The cubic root of 39912768 is about 341.7464006919.

The spelling of 39912768 in words is "thirty-nine million, nine hundred twelve thousand, seven hundred sixty-eight".