3005345040 has 40 divisors (see below), whose sum is σ = 9316570368. Its totient is φ = 801425280.

The previous prime is 3005345039. The next prime is 3005345047. The reversal of 3005345040 is 405435003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×3005345040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3005345040.

It is not an unprimeable number, because it can be changed into a prime (3005345047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6260896 + ... + 6261375.

Almost surely, 2^3005345040 is an apocalyptic number.

3005345040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005345040 is an abundant number, since it is smaller than the sum of its proper divisors (6311225328).

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

3005345040 is a wasteful number, since it uses less digits than its factorization.

3005345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12522287 (or 12522281 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3005345040 is about 54821.0273526500. The cubic root of 3005345040 is about 1443.1056045203.

The spelling of 3005345040 in words is "three billion, five million, three hundred forty-five thousand, forty".