34069890816 has 576 divisors, whose sum is σ = 114134343680. Its totient is φ = 10077696000.

The previous prime is 34069890797. The next prime is 34069890851. The reversal of 34069890816 is 61809896043.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×34069890816² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225628341 + ... + 225628491.

Almost surely, 2^34069890816 is an apocalyptic number.

34069890816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34069890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57067171840).

34069890816 is an abundant number, since it is smaller than the sum of its proper divisors (80064452864).

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

34069890816 is an equidigital number, since it uses as much as digits as its factorization.

34069890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 34069890816 in words is "thirty-four billion, sixty-nine million, eight hundred ninety thousand, eight hundred sixteen".