3521550090240 has 1584 divisors, whose sum is σ = 15603028183008. Its totient is φ = 743008370688.

The previous prime is 3521550090239. The next prime is 3521550090241. The reversal of 3521550090240 is 420900551253.

It is a happy number.

3521550090240 is a `hidden beast` number, since 3 + 5 + 21 + 5 + 500 + 90 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3521550090239) and next prime (3521550090241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3521550090195 and 3521550090204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3521550090241) by changing a digit.

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 87 ways as a sum of consecutive naturals, for example, 270888468474 + ... + 270888468486.

Almost surely, 2^{3521550090240} is an apocalyptic number.

3521550090240 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 3521550090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801514091504).

3521550090240 is an abundant number, since it is smaller than the sum of its proper divisors (12081478092768).

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

3521550090240 is an frugal number, since it uses more digits than its factorization.

3521550090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 3521550090240 in words is "three trillion, five hundred twenty-one billion, five hundred fifty million, ninety thousand, two hundred forty".