3034238030208 has 1536 divisors, whose sum is σ = 11997393408000. Its totient is φ = 739478937600.

The previous prime is 3034238030171. The next prime is 3034238030231. The reversal of 3034238030208 is 8020308324303.

It is a happy number.

3034238030208 is a `hidden beast` number, since 3 + 0 + 3 + 42 + 380 + 30 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5961174658 + ... + 5961175166.

It is an arithmetic number, because the mean of its divisors is an integer number (7810803000).

Almost surely, 2^{3034238030208} is an apocalyptic number.

3034238030208 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 3034238030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998696704000).

3034238030208 is an abundant number, since it is smaller than the sum of its proper divisors (8963155377792).

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

3034238030208 is a wasteful number, since it uses less digits than its factorization.

3034238030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3034238030208 in words is "three trillion, thirty-four billion, two hundred thirty-eight million, thirty thousand, two hundred eight".