34022780376 has 128 divisors (see below), whose sum is σ = 92619072000. Its totient is φ = 10352498688.

The previous prime is 34022780353. The next prime is 34022780381. The reversal of 34022780376 is 67308722043.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21822685 + ... + 21824243.

It is an arithmetic number, because the mean of its divisors is an integer number (723586500).

Almost surely, 2^34022780376 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 34022780376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536000).

34022780376 is an abundant number, since it is smaller than the sum of its proper divisors (58596291624).

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

34022780376 is a wasteful number, since it uses less digits than its factorization.

34022780376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 34022780376 in words is "thirty-four billion, twenty-two million, seven hundred eighty thousand, three hundred seventy-six".