34933705026 has 144 divisors (see below), whose sum is σ = 83053452384. Its totient is φ = 9781200000.

The previous prime is 34933705003. The next prime is 34933705097. The reversal of 34933705026 is 62050733943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10743901 + ... + 10747151.

It is an arithmetic number, because the mean of its divisors is an integer number (576760086).

Almost surely, 2^34933705026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34933705026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41526726192).

34933705026 is an abundant number, since it is smaller than the sum of its proper divisors (48119747358).

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

34933705026 is a wasteful number, since it uses less digits than its factorization.

34933705026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 34933705026 in words is "thirty-four billion, nine hundred thirty-three million, seven hundred five thousand, twenty-six".