34611748080625 has 45 divisors (see below), whose sum is σ = 43589983242663. Its totient is φ = 27473956596000.

The previous prime is 34611748080607. The next prime is 34611748080649. The reversal of 34611748080625 is 52608084711643.

The square root of 34611748080625 is 5883175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 29815280153569 + 4796467927056 = 5460337^2 + 2190084^2 .

It is not a de Polignac number, because 34611748080625 - 2⁵ = 34611748080593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20444032279 + ... + 20444033971.

Almost surely, 2^{34611748080625} is an apocalyptic number.

34611748080625 is the 5883175-th square number.

34611748080625 is the 2941588-th centered octagonal number.

It is an amenable number.

34611748080625 is a deficient number, since it is larger than the sum of its proper divisors (8978235162038).

34611748080625 is an frugal number, since it uses more digits than its factorization.

34611748080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 34611748080625 in words is "thirty-four trillion, six hundred eleven billion, seven hundred forty-eight million, eighty thousand, six hundred twenty-five".