3106534400 has 66 divisors (see below), whose sum is σ = 7700506950. Its totient is φ = 1242603520.

The previous prime is 3106534391. The next prime is 3106534451. The reversal of 3106534400 is 44356013.

It can be written as a sum of positive squares in 3 ways, for example, as 9834496 + 3096699904 = 3136^2 + 55648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3106534400.

It is a congruent number.

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, 35075 + ... + 86274.

Almost surely, 2^3106534400 is an apocalyptic number.

It is an amenable number.

3106534400 is an abundant number, since it is smaller than the sum of its proper divisors (4593972550).

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

3106534400 is a wasteful number, since it uses less digits than its factorization.

3106534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121379 (or 121356 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3106534400 is about 55736.2933823196. The cubic root of 3106534400 is about 1459.1235122009.

The spelling of 3106534400 in words is "three billion, one hundred six million, five hundred thirty-four thousand, four hundred".