34828046084640 has 192 divisors, whose sum is σ = 112048652588544. Its totient is φ = 9089379176448.

The previous prime is 34828046084591. The next prime is 34828046084647. The reversal of 34828046084640 is 4648064082843.

It is not an unprimeable number, because it can be changed into a prime (34828046084647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615340822 + ... + 615397418.

It is an arithmetic number, because the mean of its divisors is an integer number (583586732232).

Almost surely, 2^{34828046084640} is an apocalyptic number.

34828046084640 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 34828046084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56024326294272).

34828046084640 is an abundant number, since it is smaller than the sum of its proper divisors (77220606503904).

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

34828046084640 is a wasteful number, since it uses less digits than its factorization.

34828046084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83939 (or 83931 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 57.

The spelling of 34828046084640 in words is "thirty-four trillion, eight hundred twenty-eight billion, forty-six million, eighty-four thousand, six hundred forty".