3068800431840 has 1728 divisors, whose sum is σ = 12799713745728. Its totient is φ = 664799477760.

The previous prime is 3068800431797. The next prime is 3068800431877. The reversal of 3068800431840 is 481340088603.

3068800431840 is a `hidden beast` number, since 3 + 0 + 68 + 80 + 0 + 431 + 84 + 0 = 666.

It is a super-2 number, since 2×3068800431840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11078701782 + ... + 11078702058.

It is an arithmetic number, because the mean of its divisors is an integer number (7407241751).

Almost surely, 2^{3068800431840} is an apocalyptic number.

3068800431840 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 3068800431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399856872864).

3068800431840 is an abundant number, since it is smaller than the sum of its proper divisors (9730913313888).

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

3068800431840 is a wasteful number, since it uses less digits than its factorization.

3068800431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3068800431840 in words is "three trillion, sixty-eight billion, eight hundred million, four hundred thirty-one thousand, eight hundred forty".