3318000 has 160 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 748800.

The previous prime is 3317947. The next prime is 3318001. The reversal of 3318000 is 8133.

It is a super-2 number, since 2×3318000² = 22018248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3318001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41961 + ... + 42039.

It is an arithmetic number, because the mean of its divisors is an integer number (77376).

Almost surely, 2^3318000 is an apocalyptic number.

3318000 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 3318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3318000 is an abundant number, since it is smaller than the sum of its proper divisors (9062160).

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

3318000 is a wasteful number, since it uses less digits than its factorization.

3318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3318000 is about 1821.5378118502. The cubic root of 3318000 is about 149.1507565330.

It can be divided in two parts, 3 and 318000, that added together give a triangular number (318003 = T₇₉₇).

The spelling of 3318000 in words is "three million, three hundred eighteen thousand".