34216513408 has 192 divisors, whose sum is σ = 90268629120. Its totient is φ = 12750904320.

The previous prime is 34216513369. The next prime is 34216513433. The reversal of 34216513408 is 80431561243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576035 + ... + 1597597.

It is an arithmetic number, because the mean of its divisors is an integer number (470149110).

Almost surely, 2^34216513408 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 34216513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45134314560).

34216513408 is an abundant number, since it is smaller than the sum of its proper divisors (56052115712).

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

34216513408 is a wasteful number, since it uses less digits than its factorization.

34216513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21625 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 34216513408 in words is "thirty-four billion, two hundred sixteen million, five hundred thirteen thousand, four hundred eight".