3312000 has 192 divisors, whose sum is σ = 12411360. Its totient is φ = 844800.

The previous prime is 3311999. The next prime is 3312013. The reversal of 3312000 is 2133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 143989 + ... + 144011.

Almost surely, 2^3312000 is an apocalyptic number.

3312000 is a gapful number since it is divisible by the number (30) 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 3312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680).

3312000 is an abundant number, since it is smaller than the sum of its proper divisors (9099360).

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

3312000 is a wasteful number, since it uses less digits than its factorization.

3312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3312000 is about 1819.8901065724. The cubic root of 3312000 is about 149.0607982744.

Adding to 3312000 its reverse (2133), we get a palindrome (3314133).

The spelling of 3312000 in words is "three million, three hundred twelve thousand".