3112835040 has 144 divisors (see below), whose sum is σ = 12140095968. Its totient is φ = 711502848.

The previous prime is 3112835029. The next prime is 3112835041. The reversal of 3112835040 is 405382113.

It is a happy number.

3112835040 is a `hidden beast` number, since 31 + 128 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3112834995 and 3112835013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112835041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144327 + ... + 164486.

It is an arithmetic number, because the mean of its divisors is an integer number (84306222).

Almost surely, 2^3112835040 is an apocalyptic number.

3112835040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112835040 is an abundant number, since it is smaller than the sum of its proper divisors (9027260928).

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

3112835040 is a wasteful number, since it uses less digits than its factorization.

3112835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308841 (or 308830 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3112835040 is about 55792.7866305314. The cubic root of 3112835040 is about 1460.1093056339.

The spelling of 3112835040 in words is "three billion, one hundred twelve million, eight hundred thirty-five thousand, forty".