34842785325120 has 672 divisors, whose sum is σ = 134803963397376. Its totient is φ = 8531553484800.

The previous prime is 34842785325113. The next prime is 34842785325203. The reversal of 34842785325120 is 2152358724843.

34842785325120 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 2 + 78 + 53 + 2 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 53877285 + ... + 54520155.

It is an arithmetic number, because the mean of its divisors is an integer number (200601136008).

Almost surely, 2^{34842785325120} is an apocalyptic number.

34842785325120 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 34842785325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67401981698688).

34842785325120 is an abundant number, since it is smaller than the sum of its proper divisors (99961178072256).

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

34842785325120 is a wasteful number, since it uses less digits than its factorization.

34842785325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642961 (or 642939 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 34842785325120 in words is "thirty-four trillion, eight hundred forty-two billion, seven hundred eighty-five million, three hundred twenty-five thousand, one hundred twenty".