34001967328 has 96 divisors (see below), whose sum is σ = 79336877760. Its totient is φ = 14035230720.

The previous prime is 34001967323. The next prime is 34001967341. The reversal of 34001967328 is 82376910043.

It is a super-2 number, since 2×34001967328² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001967323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728600 + ... + 2741032.

It is an arithmetic number, because the mean of its divisors is an integer number (826425810).

Almost surely, 2^34001967328 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 34001967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39668438880).

34001967328 is an abundant number, since it is smaller than the sum of its proper divisors (45334910432).

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

34001967328 is a wasteful number, since it uses less digits than its factorization.

34001967328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 34001967328 in words is "thirty-four billion, one million, nine hundred sixty-seven thousand, three hundred twenty-eight".