3034634093568 has 2376 divisors, whose sum is σ = 12265669852800. Its totient is φ = 717352796160.

The previous prime is 3034634093539. The next prime is 3034634093573. The reversal of 3034634093568 is 8653904364303.

It is a happy number.

3034634093568 is a `hidden beast` number, since 3 + 0 + 3 + 46 + 34 + 0 + 9 + 3 + 568 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38413089753 + ... + 38413089831.

Almost surely, 2^{3034634093568} is an apocalyptic number.

3034634093568 is a gapful number since it is divisible by the number (38) 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 3034634093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132834926400).

3034634093568 is an abundant number, since it is smaller than the sum of its proper divisors (9231035759232).

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

3034634093568 is a wasteful number, since it uses less digits than its factorization.

3034634093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3034634093568 in words is "three trillion, thirty-four billion, six hundred thirty-four million, ninety-three thousand, five hundred sixty-eight".