3005435640 has 32 divisors (see below), whose sum is σ = 9016307280. Its totient is φ = 801449472.

The previous prime is 3005435611. The next prime is 3005435659. The reversal of 3005435640 is 465345003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3005435598 and 3005435607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12522529 + ... + 12522768.

Almost surely, 2^3005435640 is an apocalyptic number.

3005435640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005435640 is an abundant number, since it is smaller than the sum of its proper divisors (6010871640).

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

3005435640 is a wasteful number, since it uses less digits than its factorization.

3005435640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25045311 (or 25045307 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3005435640 is about 54821.8536716883. The cubic root of 3005435640 is about 1443.1201058008.

The spelling of 3005435640 in words is "three billion, five million, four hundred thirty-five thousand, six hundred forty".