3393000 has 192 divisors, whose sum is σ = 12776400. Its totient is φ = 806400.

The previous prime is 3392999. The next prime is 3393017. The reversal of 3393000 is 3933.

It can be written as a sum of positive squares in 8 ways, for example, as 36 + 3392964 = 6^2 + 1842^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116986 + ... + 117014.

Almost surely, 2^3393000 is an apocalyptic number.

3393000 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 3393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

3393000 is an abundant number, since it is smaller than the sum of its proper divisors (9383400).

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

3393000 is a wasteful number, since it uses less digits than its factorization.

3393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3393000 is about 1842.0097719611. The cubic root of 3393000 is about 150.2661939923.

Adding to 3393000 its reverse (3933), we get a palindrome (3396933).

The spelling of 3393000 in words is "three million, three hundred ninety-three thousand".