3006756 has 45 divisors (see below), whose sum is σ = 8075431. Its totient is φ = 943296.

The previous prime is 3006737. The next prime is 3006761. The reversal of 3006756 is 6576003.

The square root of 3006756 is 1734.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 2073600 = 966^2 + 1440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 176860 + ... + 176876.

Almost surely, 2^3006756 is an apocalyptic number.

3006756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3006756 is the 1734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006756

3006756 is an abundant number, since it is smaller than the sum of its proper divisors (5068675).

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

3006756 is an equidigital number, since it uses as much as digits as its factorization.

3006756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The cubic root of 3006756 is about 144.3331407292. Note that the first 3 decimals are identical.

It can be divided in two parts, 300675 and 6, that multiplied together give a triangular number (1804050 = T₁₈₉₉).

The spelling of 3006756 in words is "three million, six thousand, seven hundred fifty-six".