3287349 has 12 divisors (see below), whose sum is σ = 5113836. Its totient is φ = 2022912.

The previous prime is 3287329. The next prime is 3287359. The reversal of 3287349 is 9437823.

3287349 = 343² + 344² + ... + 368².

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 3132900 = 393^2 + 1770^2 .

It is not a de Polignac number, because 3287349 - 2¹⁷ = 3156277 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13932 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (426153).

Almost surely, 2^3287349 is an apocalyptic number.

3287349 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3287349 is a deficient number, since it is larger than the sum of its proper divisors (1826487).

3287349 is a wasteful number, since it uses less digits than its factorization.

3287349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28116 (or 28113 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3287349 is about 1813.1047956475. The cubic root of 3287349 is about 148.6900603546.

The spelling of 3287349 in words is "three million, two hundred eighty-seven thousand, three hundred forty-nine".