3531587641920 has 336 divisors, whose sum is σ = 13110029844912. Its totient is φ = 867423928320.

The previous prime is 3531587641889. The next prime is 3531587641927. The reversal of 3531587641920 is 291467851353.

It is a happy number.

3531587641920 is a `hidden beast` number, since 3 + 5 + 3 + 158 + 76 + 419 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 164920458816 + 3366667183104 = 406104^2 + 1834848^2 .

It is a super-2 number, since 2×3531587641920² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3531587641927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17157534 + ... + 17362146.

It is an arithmetic number, because the mean of its divisors is an integer number (39017945967).

It is a 1-persistent number, because it is pandigital, but 2⋅3531587641920 = 7063175283840 is not.

Almost surely, 2^{3531587641920} is an apocalyptic number.

3531587641920 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 3531587641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555014922456).

3531587641920 is an abundant number, since it is smaller than the sum of its proper divisors (9578442202992).

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

3531587641920 is a wasteful number, since it uses less digits than its factorization.

3531587641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205110 (or 205097 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3531587641920 in words is "three trillion, five hundred thirty-one billion, five hundred eighty-seven million, six hundred forty-one thousand, nine hundred twenty".