34216641024 has 80 divisors (see below), whose sum is σ = 92058215040. Its totient is φ = 11292569600.

The previous prime is 34216641007. The next prime is 34216641083. The reversal of 34216641024 is 42014661243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44857 + ... + 265415.

It is an arithmetic number, because the mean of its divisors is an integer number (1150727688).

Almost surely, 2^34216641024 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 34216641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46029107520).

34216641024 is an abundant number, since it is smaller than the sum of its proper divisors (57841574016).

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

34216641024 is a wasteful number, since it uses less digits than its factorization.

34216641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220681 (or 220665 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 34216641024 in words is "thirty-four billion, two hundred sixteen million, six hundred forty-one thousand, twenty-four".