3085968400 has 30 divisors (see below), whose sum is σ = 7414040042. Its totient is φ = 1234387200.

The previous prime is 3085968383. The next prime is 3085968419. The reversal of 3085968400 is 48695803.

It can be written as a sum of positive squares in 3 ways, for example, as 838449936 + 2247518464 = 28956^2 + 47408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3857061 + ... + 3857860.

Almost surely, 2^3085968400 is an apocalyptic number.

It is an amenable number.

3085968400 is an abundant number, since it is smaller than the sum of its proper divisors (4328071642).

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

3085968400 is a wasteful number, since it uses less digits than its factorization.

3085968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714939 (or 7714928 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 3085968400 is about 55551.4932292553. The cubic root of 3085968400 is about 1455.8964649842.

The spelling of 3085968400 in words is "three billion, eighty-five million, nine hundred sixty-eight thousand, four hundred".