3531661353 has 48 divisors (see below), whose sum is σ = 5678038080. Its totient is φ = 2097187200.

The previous prime is 3531661351. The next prime is 3531661373.

3531661353 is a `hidden beast` number, since 3 + 5 + 31 + 6 + 613 + 5 + 3 = 666.

3531661353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3531661353 - 2¹ = 3531661351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3531661351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177883 + ... + 2179503.

It is an arithmetic number, because the mean of its divisors is an integer number (118292460).

Almost surely, 2^3531661353 is an apocalyptic number.

3531661353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3531661353 is a deficient number, since it is larger than the sum of its proper divisors (2146376727).

3531661353 is a wasteful number, since it uses less digits than its factorization.

3531661353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2067 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 3531661353 is about 59427.7826693879. The cubic root of 3531661353 is about 1522.8589649194.

It can be divided in two parts, 35316 and 61353, that added together give a palindrome (96669).

The spelling of 3531661353 in words is "three billion, five hundred thirty-one million, six hundred sixty-one thousand, three hundred fifty-three".