3133984 has 48 divisors (see below), whose sum is σ = 7475328. Its totient is φ = 1262592.

The previous prime is 3133961. The next prime is 3133987. The reversal of 3133984 is 4893313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133987) 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, 3397 + ... + 4219.

It is an arithmetic number, because the mean of its divisors is an integer number (155736).

Almost surely, 2^3133984 is an apocalyptic number.

3133984 is a gapful number since it is divisible by the number (34) 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 3133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737664).

3133984 is an abundant number, since it is smaller than the sum of its proper divisors (4341344).

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

3133984 is a wasteful number, since it uses less digits than its factorization.

3133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 3133984 is about 1770.3061882059. The cubic root of 3133984 is about 146.3408561998.

The spelling of 3133984 in words is "three million, one hundred thirty-three thousand, nine hundred eighty-four".