3133968 has 40 divisors (see below), whose sum is σ = 8184000. Its totient is φ = 1033344.

The previous prime is 3133961. The next prime is 3133987. The reversal of 3133968 is 8693313.

It is not an unprimeable number, because it can be changed into a prime (3133961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4933 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (204600).

Almost surely, 2^3133968 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 3133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092000).

3133968 is an abundant number, since it is smaller than the sum of its proper divisors (5050032).

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

3133968 is a wasteful number, since it uses less digits than its factorization.

3133968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 3133968 is about 1770.3016692078. The cubic root of 3133968 is about 146.3406071603.

The spelling of 3133968 in words is "three million, one hundred thirty-three thousand, nine hundred sixty-eight".