3139968 has 128 divisors (see below), whose sum is σ = 9767520. Its totient is φ = 884736.

The previous prime is 3139967. The next prime is 3139979. The reversal of 3139968 is 8699313.

3139968 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 (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (34992) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3139967) 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 15 ways as a sum of consecutive naturals, for example, 84846 + ... + 84882.

Almost surely, 2^3139968 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 3139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883760).

3139968 is an abundant number, since it is smaller than the sum of its proper divisors (6627552).

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

3139968 is a wasteful number, since it uses less digits than its factorization.

3139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 3139968 is about 1771.9954853216. The cubic root of 3139968 is about 146.4339376068.

It can be divided in two parts, 3 and 139968, that multiplied together give a square (419904 = 648²).

The spelling of 3139968 in words is "three million, one hundred thirty-nine thousand, nine hundred sixty-eight".