3204768 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 864000.

The previous prime is 3204767. The next prime is 3204769. The reversal of 3204768 is 8674023.

It is an interprime number because it is at equal distance from previous prime (3204767) and next prime (3204769).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3² + 2⁵ + 0 + 4⁶ + 7⁷ + 6⁷ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12643 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3204768 is an apocalyptic number.

3204768 is a gapful number since it is divisible by the number (38) 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 3204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3204768 is an abundant number, since it is smaller than the sum of its proper divisors (6955872).

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

3204768 is a wasteful number, since it uses less digits than its factorization.

3204768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3204768 is about 1790.1865824545. The cubic root of 3204768 is about 147.4344130507.

The spelling of 3204768 in words is "three million, two hundred four thousand, seven hundred sixty-eight".