3273768 has 48 divisors (see below), whose sum is σ = 9090900. Its totient is φ = 1063680.

The previous prime is 3273763. The next prime is 3273773. The reversal of 3273768 is 8673723.

It is an interprime number because it is at equal distance from previous prime (3273763) and next prime (3273773).

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 1077444 = 1482^2 + 1038^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3273761) 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, 2398 + ... + 3506.

Almost surely, 2^3273768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3273768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545450).

3273768 is an abundant number, since it is smaller than the sum of its proper divisors (5817132).

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

3273768 is a wasteful number, since it uses less digits than its factorization.

3273768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1155 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3273768 is about 1809.3556864254. The cubic root of 3273768 is about 148.4850170239.

It can be divided in two parts, 327 and 3768, that added together give a triangular number (4095 = T₉₀).

The spelling of 3273768 in words is "three million, two hundred seventy-three thousand, seven hundred sixty-eight".