3114212640 has 288 divisors, whose sum is σ = 12449795904. Its totient is φ = 647055360.

The previous prime is 3114212639. The next prime is 3114212653. The reversal of 3114212640 is 462124113.

3114212640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 3114212640.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252702 + ... + 264738.

It is an arithmetic number, because the mean of its divisors is an integer number (43228458).

Almost surely, 2^3114212640 is an apocalyptic number.

3114212640 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 3114212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224897952).

3114212640 is an abundant number, since it is smaller than the sum of its proper divisors (9335583264).

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

3114212640 is a wasteful number, since it uses less digits than its factorization.

3114212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12065 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3114212640 is about 55805.1309468941. The cubic root of 3114212640 is about 1460.3246666474.

Adding to 3114212640 its reverse (462124113), we get a palindrome (3576336753).

The spelling of 3114212640 in words is "three billion, one hundred fourteen million, two hundred twelve thousand, six hundred forty".