3114080640 has 640 divisors, whose sum is σ = 12511825920. Its totient is φ = 731566080.

The previous prime is 3114080633. The next prime is 3114080687. The reversal of 3114080640 is 460804113.

3114080640 is a `hidden beast` number, since 3 + 1 + 14 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24520257 + ... + 24520383.

It is an arithmetic number, because the mean of its divisors is an integer number (19549728).

Almost surely, 2^3114080640 is an apocalyptic number.

3114080640 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 3114080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255912960).

3114080640 is an abundant number, since it is smaller than the sum of its proper divisors (9397745280).

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

3114080640 is a wasteful number, since it uses less digits than its factorization.

3114080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3114080640 is about 55803.9482474135. The cubic root of 3114080640 is about 1460.3040337618.

Adding to 3114080640 its reverse (460804113), we get a palindrome (3574884753).

The spelling of 3114080640 in words is "three billion, one hundred fourteen million, eighty thousand, six hundred forty".