3530352252240 has 640 divisors, whose sum is σ = 13814287257600. Its totient is φ = 820834560000.

The previous prime is 3530352252233. The next prime is 3530352252293. The reversal of 3530352252240 is 422522530353.

3530352252240 is a `hidden beast` number, since 3 + 5 + 30 + 352 + 252 + 24 + 0 = 666.

3530352252240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3530352252195 and 3530352252204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104028075 + ... + 104062005.

It is an arithmetic number, because the mean of its divisors is an integer number (21584823840).

Almost surely, 2^{3530352252240} is an apocalyptic number.

3530352252240 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 3530352252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907143628800).

3530352252240 is an abundant number, since it is smaller than the sum of its proper divisors (10283935005360).

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

3530352252240 is a wasteful number, since it uses less digits than its factorization.

3530352252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34144 (or 34132 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 3530352252240 its reverse (422522530353), we get a palindrome (3952874782593).

The spelling of 3530352252240 in words is "three trillion, five hundred thirty billion, three hundred fifty-two million, two hundred fifty-two thousand, two hundred forty".