3005964 has 48 divisors (see below), whose sum is σ = 8396640. Its totient is φ = 924480.

The previous prime is 3005953. The next prime is 3005969. The reversal of 3005964 is 4695003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3005969) 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, 334 + ... + 2474.

It is an arithmetic number, because the mean of its divisors is an integer number (174930).

Almost surely, 2^3005964 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 3005964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198320).

3005964 is an abundant number, since it is smaller than the sum of its proper divisors (5390676).

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

3005964 is a wasteful number, since it uses less digits than its factorization.

3005964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3005964 is about 1733.7716112568. The cubic root of 3005964 is about 144.3204668390.

It can be divided in two parts, 3005 and 964, that added together give a square (3969 = 63²).

The spelling of 3005964 in words is "three million, five thousand, nine hundred sixty-four".