3537826189921 has 27 divisors (see below), whose sum is σ = 3715519659033. Its totient is φ = 3368485891680.

The previous prime is 3537826189907. The next prime is 3537826189951. The reversal of 3537826189921 is 1299816287353.

The square root of 3537826189921 is 1880911.

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 155463815521 + 3382362374400 = 394289^2 + 1839120^2 .

It is not a de Polignac number, because 3537826189921 - 2⁵ = 3537826189889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3537826189901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4309166691 + ... + 4309167511.

Almost surely, 2^{3537826189921} is an apocalyptic number.

3537826189921 is the 1880911-st square number.

3537826189921 is the 940456-th centered octagonal number.

It is an amenable number.

3537826189921 is a deficient number, since it is larger than the sum of its proper divisors (177693469112).

3537826189921 is an frugal number, since it uses more digits than its factorization.

3537826189921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 64.

Multiplying 3537826189921 by its sum of digits (64), we get a square (226420876154944 = 15047288²).

The spelling of 3537826189921 in words is "three trillion, five hundred thirty-seven billion, eight hundred twenty-six million, one hundred eighty-nine thousand, nine hundred twenty-one".