34984510848 has 256 divisors, whose sum is σ = 121812480000. Its totient is φ = 9672929280.

The previous prime is 34984510837. The next prime is 34984510853. The reversal of 34984510848 is 84801548943.

It is a happy number.

34984510848 is a `hidden beast` number, since 3 + 4 + 9 + 84 + 510 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34984510794 and 34984510803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726628 + ... + 773276.

It is an arithmetic number, because the mean of its divisors is an integer number (475830000).

Almost surely, 2^34984510848 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 34984510848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60906240000).

34984510848 is an abundant number, since it is smaller than the sum of its proper divisors (86827969152).

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

34984510848 is a wasteful number, since it uses less digits than its factorization.

34984510848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46710 (or 46692 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 34984510848 in words is "thirty-four billion, nine hundred eighty-four million, five hundred ten thousand, eight hundred forty-eight".