3485872960 has 28 divisors (see below), whose sum is σ = 8300735748. Its totient is φ = 1394349056.

The previous prime is 3485872937. The next prime is 3485872961. The reversal of 3485872960 is 692785843.

It can be written as a sum of positive squares in 2 ways, for example, as 580231744 + 2905641216 = 24088^2 + 53904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3485872898 and 3485872907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485872961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5446357 + ... + 5446996.

Almost surely, 2^3485872960 is an apocalyptic number.

It is an amenable number.

3485872960 is an abundant number, since it is smaller than the sum of its proper divisors (4814862788).

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

3485872960 is a wasteful number, since it uses less digits than its factorization.

3485872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893370 (or 10893360 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 3485872960 is about 59041.2818289034. The cubic root of 3485872960 is about 1516.2489687941.

The spelling of 3485872960 in words is "three billion, four hundred eighty-five million, eight hundred seventy-two thousand, nine hundred sixty".