3321000 has 160 divisors (see below), whose sum is σ = 11891880. Its totient is φ = 864000.

The previous prime is 3320971. The next prime is 3321037. The reversal of 3321000 is 1233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 3048516 = 522^2 + 1746^2 .

It is a super-2 number, since 2×3321000² = 22058082000000, which contains 22 as substring.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80980 + ... + 81020.

Almost surely, 2^3321000 is an apocalyptic number.

3321000 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 3321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945940).

3321000 is an abundant number, since it is smaller than the sum of its proper divisors (8570880).

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

3321000 is a wasteful number, since it uses less digits than its factorization.

3321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

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

The square root of 3321000 is about 1822.3611058185. The cubic root of 3321000 is about 149.1956949981.

Adding to 3321000 its reverse (1233), we get a palindrome (3322233).

The spelling of 3321000 in words is "three million, three hundred twenty-one thousand".