3205635345 has 112 divisors (see below), whose sum is σ = 6663347712. Its totient is φ = 1462510080.

The previous prime is 3205635343. The next prime is 3205635347. The reversal of 3205635345 is 5435365023.

3205635345 is a `hidden beast` number, since 3 + 2 + 0 + 563 + 53 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (3205635343) and next prime (3205635347).

It is not a de Polignac number, because 3205635345 - 2¹ = 3205635343 is a prime.

It is a super-2 number, since 2×3205635345² = 20552195930226538050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3205635343) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 679264 + ... + 683966.

It is an arithmetic number, because the mean of its divisors is an integer number (59494176).

Almost surely, 2^3205635345 is an apocalyptic number.

It is an amenable number.

3205635345 is an abundant number, since it is smaller than the sum of its proper divisors (3457712367).

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

3205635345 is a wasteful number, since it uses less digits than its factorization.

3205635345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3205635345 is about 56618.3304681443. The cubic root of 3205635345 is about 1474.4771250186.

The spelling of 3205635345 in words is "three billion, two hundred five million, six hundred thirty-five thousand, three hundred forty-five".