34074672221184 has 176 divisors, whose sum is σ = 103814036933376. Its totient is φ = 9733920768000.

The previous prime is 34074672221179. The next prime is 34074672221237. The reversal of 34074672221184 is 48112227647043.

It is a super-2 number, since 2×34074672221184² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125684494 + ... + 125955314.

It is an arithmetic number, because the mean of its divisors is an integer number (589852482576).

Almost surely, 2^{34074672221184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34074672221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51907018466688).

34074672221184 is an abundant number, since it is smaller than the sum of its proper divisors (69739364712192).

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

34074672221184 is a wasteful number, since it uses less digits than its factorization.

34074672221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276702 (or 276684 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 34074672221184 in words is "thirty-four trillion, seventy-four billion, six hundred seventy-two million, two hundred twenty-one thousand, one hundred eighty-four".