34335710682 has 128 divisors (see below), whose sum is σ = 86185451520. Its totient is φ = 8877841920.

The previous prime is 34335710593. The next prime is 34335710699. The reversal of 34335710682 is 28601753343.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 13882998 + ... + 13885470.

It is an arithmetic number, because the mean of its divisors is an integer number (673323840).

Almost surely, 2^34335710682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34335710682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092725760).

34335710682 is an abundant number, since it is smaller than the sum of its proper divisors (51849740838).

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

34335710682 is a wasteful number, since it uses less digits than its factorization.

34335710682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 34335710682 in words is "thirty-four billion, three hundred thirty-five million, seven hundred ten thousand, six hundred eighty-two".