34227683159040 has 528 divisors, whose sum is σ = 135595014414912. Its totient is φ = 7820330139648.

The previous prime is 34227683158979. The next prime is 34227683159069. The reversal of 34227683159040 is 4095138672243.

34227683159040 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 7 + 6 + 8 + 3 + 1 + 590 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 857021952 + ... + 857061888.

It is a 1-persistent number, because it is pandigital, but 2⋅34227683159040 = 68455366318080 is not.

Almost surely, 2^{34227683159040} is an apocalyptic number.

34227683159040 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 34227683159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67797507207456).

34227683159040 is an abundant number, since it is smaller than the sum of its proper divisors (101367331255872).

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

34227683159040 is a wasteful number, since it uses less digits than its factorization.

34227683159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42632 (or 42611 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 34227683159040 in words is "thirty-four trillion, two hundred twenty-seven billion, six hundred eighty-three million, one hundred fifty-nine thousand, forty".