34828864840 has 256 divisors, whose sum is σ = 100854720000. Its totient is φ = 10729635840.

The previous prime is 34828864783. The next prime is 34828864849. The reversal of 34828864840 is 4846882843.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (34828864849) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13430584 + ... + 13433176.

It is an arithmetic number, because the mean of its divisors is an integer number (393963750).

Almost surely, 2^34828864840 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 34828864840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50427360000).

34828864840 is an abundant number, since it is smaller than the sum of its proper divisors (66025855160).

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

34828864840 is a wasteful number, since it uses less digits than its factorization.

34828864840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 55.

The spelling of 34828864840 in words is "thirty-four billion, eight hundred twenty-eight million, eight hundred sixty-four thousand, eight hundred forty".