3437616354561 has 15 divisors (see below), whose sum is σ = 5135229605011. Its totient is φ = 2291733111888.

The previous prime is 3437616354553. The next prime is 3437616354577. The reversal of 3437616354561 is 1654536167343.

The square root of 3437616354561 is 1854081.

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

3437616354561 is a `hidden beast` number, since 3 + 4 + 3 + 76 + 1 + 6 + 3 + 5 + 4 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 966055060161 + 2471561294400 = 982881^2 + 1572120^2 .

It is not a de Polignac number, because 3437616354561 - 2³ = 3437616354553 is a prime.

It is a super-2 number, since 2×3437616354561² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3437616354498 and 3437616354507.

It is not an unprimeable number, because it can be changed into a prime (3437616350561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16583725 + ... + 16789733.

Almost surely, 2^{3437616354561} is an apocalyptic number.

3437616354561 is the 1854081-st square number.

3437616354561 is the 927041-st centered octagonal number.

It is an amenable number.

3437616354561 is a deficient number, since it is larger than the sum of its proper divisors (1697613250450).

3437616354561 is an frugal number, since it uses more digits than its factorization.

3437616354561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412030 (or 206012 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 3437616354561 in words is "three trillion, four hundred thirty-seven billion, six hundred sixteen million, three hundred fifty-four thousand, five hundred sixty-one".