34936244454721 has 9 divisors (see below), whose sum is σ = 35057625582729. Its totient is φ = 34815282204336.

The previous prime is 34936244454719. The next prime is 34936244454773. The reversal of 34936244454721 is 12745444263943.

The square root of 34936244454721 is 5910689.

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 32333313965121 + 2602930489600 = 5686239^2 + 1613360^2 .

It is not a de Polignac number, because 34936244454721 - 2¹ = 34936244454719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34936244452721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1731821791 + ... + 1731841963.

Almost surely, 2^{34936244454721} is an apocalyptic number.

34936244454721 is the 5910689-th square number.

34936244454721 is the 2955345-th centered octagonal number.

It is an amenable number.

34936244454721 is a deficient number, since it is larger than the sum of its proper divisors (121381128008).

34936244454721 is an frugal number, since it uses more digits than its factorization.

34936244454721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40932 (or 20466 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 58.

The spelling of 34936244454721 in words is "thirty-four trillion, nine hundred thirty-six billion, two hundred forty-four million, four hundred fifty-four thousand, seven hundred twenty-one".