34239806487441 has 81 divisors (see below), whose sum is σ = 51267557577171. Its totient is φ = 22020285772800.

The previous prime is 34239806487433. The next prime is 34239806487487. The reversal of 34239806487441 is 14478460893243.

The square root of 34239806487441 is 5851479.

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

34239806487441 is a `hidden beast` number, since 3 + 4 + 2 + 39 + 80 + 6 + 4 + 87 + 441 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5779672769025 + 28460133718416 = 2404095^2 + 5334804^2 .

It is not a de Polignac number, because 34239806487441 - 2³ = 34239806487433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34239806087441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81329706411 + ... + 81329706831.

Almost surely, 2^{34239806487441} is an apocalyptic number.

34239806487441 is the 5851479-th square number.

34239806487441 is the 2925740-th centered octagonal number.

It is an amenable number.

34239806487441 is a deficient number, since it is larger than the sum of its proper divisors (17027751089730).

34239806487441 is an frugal number, since it uses more digits than its factorization.

34239806487441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 34239806487441 in words is "thirty-four trillion, two hundred thirty-nine billion, eight hundred six million, four hundred eighty-seven thousand, four hundred forty-one".