3006464 has 28 divisors (see below), whose sum is σ = 6028944. Its totient is φ = 1499136.

The previous prime is 3006461. The next prime is 3006469. The reversal of 3006464 is 4646003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8009 + ... + 8375.

Almost surely, 2^3006464 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 3006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014472).

3006464 is an abundant number, since it is smaller than the sum of its proper divisors (3022480).

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

3006464 is an frugal number, since it uses more digits than its factorization.

3006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3006464 is about 1733.9157995704. The cubic root of 3006464 is about 144.3284682914.

The spelling of 3006464 in words is "three million, six thousand, four hundred sixty-four".