34003830016 has 288 divisors, whose sum is σ = 81425111040. Its totient is φ = 14021517312.

The previous prime is 34003829999. The next prime is 34003830019. The reversal of 34003830016 is 61003830043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003830019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149796495 + ... + 149796721.

It is an arithmetic number, because the mean of its divisors is an integer number (282726080).

Almost surely, 2^34003830016 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 34003830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40712555520).

34003830016 is an abundant number, since it is smaller than the sum of its proper divisors (47421281024).

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

34003830016 is a wasteful number, since it uses less digits than its factorization.

34003830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 34003830016 in words is "thirty-four billion, three million, eight hundred thirty thousand, sixteen".