34078402704241 has 81 divisors (see below), whose sum is σ = 41549003011971. Its totient is φ = 27868387534848.

The previous prime is 34078402704233. The next prime is 34078402704301. The reversal of 34078402704241 is 14240720487043.

The square root of 34078402704241 is 5837671.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33718287495025 + 360115209216 = 5806745^2 + 600096^2 .

It is not a de Polignac number, because 34078402704241 - 2³ = 34078402704233 is a prime.

It is a super-2 number, since 2×34078402704241² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34078402704191 and 34078402704200.

It is not an unprimeable number, because it can be changed into a prime (34078402704641) 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, 176572034641 + ... + 176572034833.

Almost surely, 2^{34078402704241} is an apocalyptic number.

34078402704241 is the 5837671-st square number.

34078402704241 is the 2918836-th centered octagonal number.

It is an amenable number.

34078402704241 is a deficient number, since it is larger than the sum of its proper divisors (7470600307730).

34078402704241 is an frugal number, since it uses more digits than its factorization.

34078402704241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The spelling of 34078402704241 in words is "thirty-four trillion, seventy-eight billion, four hundred two million, seven hundred four thousand, two hundred forty-one".