3223130968134 has 512 divisors, whose sum is σ = 9788453683200. Its totient is φ = 760306176000.

The previous prime is 3223130968093. The next prime is 3223130968157. The reversal of 3223130968134 is 4318690313223.

3223130968134 is a `hidden beast` number, since 3 + 2 + 231 + 309 + 6 + 81 + 34 = 666.

It is a super-2 number, since 2×3223130968134² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3223130968134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 830487874 + ... + 830491754.

It is an arithmetic number, because the mean of its divisors is an integer number (19118073600).

Almost surely, 2^{3223130968134} is an apocalyptic number.

3223130968134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223130968134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894226841600).

3223130968134 is an abundant number, since it is smaller than the sum of its proper divisors (6565322715066).

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

3223130968134 is a wasteful number, since it uses less digits than its factorization.

3223130968134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3223130968134 in words is "three trillion, two hundred twenty-three billion, one hundred thirty million, nine hundred sixty-eight thousand, one hundred thirty-four".