3531061908544 has 189 divisors, whose sum is σ = 7652049799629. Its totient is φ = 1616336977920.

The previous prime is 3531061908461. The next prime is 3531061908557. The reversal of 3531061908544 is 4458091601353.

The square root of 3531061908544 is 1879112.

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 3266289914944 + 264771993600 = 1807288^2 + 514560^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10477928344 + ... + 10477928680.

Almost surely, 2^{3531061908544} is an apocalyptic number.

3531061908544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3531061908544 is the 1879112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3531061908544

3531061908544 is an abundant number, since it is smaller than the sum of its proper divisors (4120987891085).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3531061908544 is an frugal number, since it uses more digits than its factorization.

3531061908544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 3531061908544 by its sum of digits (49), we get a square (173022033518656 = 13153784²).

The spelling of 3531061908544 in words is "three trillion, five hundred thirty-one billion, sixty-one million, nine hundred eight thousand, five hundred forty-four".