3112229040 has 160 divisors (see below), whose sum is σ = 9794611200. Its totient is φ = 817413120.

The previous prime is 3112229011. The next prime is 3112229053. The reversal of 3112229040 is 409222113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3112229040.

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 31 ways as a sum of consecutive naturals, for example, 7089141 + ... + 7089579.

It is an arithmetic number, because the mean of its divisors is an integer number (61216320).

Almost surely, 2^3112229040 is an apocalyptic number.

3112229040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897305600).

3112229040 is an abundant number, since it is smaller than the sum of its proper divisors (6682382160).

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

3112229040 is a wasteful number, since it uses less digits than its factorization.

3112229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3112229040 is about 55787.3555566134. The cubic root of 3112229040 is about 1460.0145491763.

The spelling of 3112229040 in words is "three billion, one hundred twelve million, two hundred twenty-nine thousand, forty".