3388993 has 2 divisors, whose sum is σ = 3388994. Its totient is φ = 3388992.

The previous prime is 3388963. The next prime is 3388997. The reversal of 3388993 is 3998833.

3388993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3125824 + 263169 = 1768^2 + 513^2 .

It is a cyclic number.

It is not a de Polignac number, because 3388993 - 2⁵ = 3388961 is a prime.

It is a super-2 number, since 2×3388993² = 22970547108098, which contains 22 as substring.

3388993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (3388997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1694496 + 1694497.

It is an arithmetic number, because the mean of its divisors is an integer number (1694497).

Almost surely, 2^3388993 is an apocalyptic number.

It is an amenable number.

3388993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3388993 is an equidigital number, since it uses as much as digits as its factorization.

3388993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 43.

The square root of 3388993 is about 1840.9217799787. The cubic root of 3388993 is about 150.2070178630.

The spelling of 3388993 in words is "three million, three hundred eighty-eight thousand, nine hundred ninety-three".