3005040 has 80 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 758016.

The previous prime is 3005033. The next prime is 3005063. The reversal of 3005040 is 405003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4231 + ... + 4889.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 2^3005040 is an apocalyptic number.

3005040 is a gapful number since it is divisible by the number (30) 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 3005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

3005040 is an abundant number, since it is smaller than the sum of its proper divisors (6815760).

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

3005040 is a wasteful number, since it uses less digits than its factorization.

3005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3005040 is about 1733.5051196925. The cubic root of 3005040 is about 144.3056778199.

The spelling of 3005040 in words is "three million, five thousand, forty".