34211681296 has 45 divisors (see below), whose sum is σ = 71796393111. Its totient is φ = 15785567616.

The previous prime is 34211681267. The next prime is 34211681347. The reversal of 34211681296 is 69218611243.

The square root of 34211681296 is 184964.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18234721296 + 15976960000 = 135036^2 + 126400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9616350 + ... + 9619906.

Almost surely, 2^34211681296 is an apocalyptic number.

34211681296 is the 184964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34211681296

34211681296 is an abundant number, since it is smaller than the sum of its proper divisors (37584711815).

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

34211681296 is an frugal number, since it uses more digits than its factorization.

34211681296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 3572 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The spelling of 34211681296 in words is "thirty-four billion, two hundred eleven million, six hundred eighty-one thousand, two hundred ninety-six".