3112265640 has 128 divisors (see below), whose sum is σ = 10201489920. Its totient is φ = 753312000.

The previous prime is 3112265623. The next prime is 3112265641. The reversal of 3112265640 is 465622113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3112265598 and 3112265607.

It is not an unprimeable number, because it can be changed into a prime (3112265641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090215 + ... + 1093065.

It is an arithmetic number, because the mean of its divisors is an integer number (79699140).

Almost surely, 2^3112265640 is an apocalyptic number.

3112265640 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 3112265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100744960).

3112265640 is an abundant number, since it is smaller than the sum of its proper divisors (7089224280).

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

3112265640 is a wasteful number, since it uses less digits than its factorization.

3112265640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3112265640 is about 55787.6835869711. The cubic root of 3112265640 is about 1460.0202724401.

Adding to 3112265640 its reverse (465622113), we get a palindrome (3577887753).

The spelling of 3112265640 in words is "three billion, one hundred twelve million, two hundred sixty-five thousand, six hundred forty".