3396393 has 72 divisors (see below), whose sum is σ = 6851520. Its totient is φ = 1572480.

The previous prime is 3396389. The next prime is 3396397. The reversal of 3396393 is 3936933.

It is an interprime number because it is at equal distance from previous prime (3396389) and next prime (3396397).

It is not a de Polignac number, because 3396393 - 2² = 3396389 is a prime.

It is a super-3 number, since 3×3396393³ (a number of 21 digits) contains 333 as substring.

3396393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3396397) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117103 + ... + 117131.

It is an arithmetic number, because the mean of its divisors is an integer number (95160).

Almost surely, 2^3396393 is an apocalyptic number.

3396393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3396393 is an abundant number, since it is smaller than the sum of its proper divisors (3455127).

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

3396393 is a wasteful number, since it uses less digits than its factorization.

3396393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 3396393 is about 1842.9305467109. The cubic root of 3396393 is about 150.3162660366.

The spelling of 3396393 in words is "three million, three hundred ninety-six thousand, three hundred ninety-three".