3331384 has 64 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 1296000.

The previous prime is 3331381. The next prime is 3331399. The reversal of 3331384 is 4831333.

3331384 = T₇₁ + T₇₂ + ... + T₂₇₂.

3331384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3331384² = 22196238710912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331381) 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, 32934 + ... + 33034.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 2^3331384 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 3331384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

3331384 is an abundant number, since it is smaller than the sum of its proper divisors (4502216).

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

3331384 is a wasteful number, since it uses less digits than its factorization.

3331384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 3331384 is about 1825.2079333599. The cubic root of 3331384 is about 149.3510333683.

The spelling of 3331384 in words is "three million, three hundred thirty-one thousand, three hundred eighty-four".