3528381418131 has 32 divisors (see below), whose sum is σ = 4819796213760. Its totient is φ = 2294746020000.

The previous prime is 3528381418109. The next prime is 3528381418147. The reversal of 3528381418131 is 1318141838253.

It is not a de Polignac number, because 3528381418131 - 2⁹ = 3528381417619 is a prime.

It is a super-3 number, since 3×3528381418131³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3528381418151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473540956 + ... + 473548406.

It is an arithmetic number, because the mean of its divisors is an integer number (150618631680).

Almost surely, 2^{3528381418131} is an apocalyptic number.

3528381418131 is a deficient number, since it is larger than the sum of its proper divisors (1291414795629).

3528381418131 is a wasteful number, since it uses less digits than its factorization.

3528381418131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487.

The product of its digits is 552960, while the sum is 48.

The spelling of 3528381418131 in words is "three trillion, five hundred twenty-eight billion, three hundred eighty-one million, four hundred eighteen thousand, one hundred thirty-one".