3531885485040 has 1280 divisors, whose sum is σ = 14421568389120. Its totient is φ = 792108979200.

The previous prime is 3531885485021. The next prime is 3531885485047. The reversal of 3531885485040 is 405845881353.

3531885485040 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 8 + 8 + 548 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531885485047) 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 255 ways as a sum of consecutive naturals, for example, 2049845619 + ... + 2049847341.

It is an arithmetic number, because the mean of its divisors is an integer number (11266850304).

Almost surely, 2^{3531885485040} is an apocalyptic number.

3531885485040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3531885485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210784194560).

3531885485040 is an abundant number, since it is smaller than the sum of its proper divisors (10889682904080).

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

3531885485040 is a wasteful number, since it uses less digits than its factorization.

3531885485040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 3531885485040 in words is "three trillion, five hundred thirty-one billion, eight hundred eighty-five million, four hundred eighty-five thousand, forty".