3530501142240 has 192 divisors, whose sum is σ = 11251858625280. Its totient is φ = 930406625280.

The previous prime is 3530501142221. The next prime is 3530501142241. The reversal of 3530501142240 is 422411050353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3530501142198 and 3530501142207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530501142241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86573055 + ... + 86613825.

It is an arithmetic number, because the mean of its divisors is an integer number (58603430340).

Almost surely, 2^{3530501142240} is an apocalyptic number.

3530501142240 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 3530501142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625929312640).

3530501142240 is an abundant number, since it is smaller than the sum of its proper divisors (7721357483040).

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

3530501142240 is a wasteful number, since it uses less digits than its factorization.

3530501142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42905 (or 42897 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 3530501142240 its reverse (422411050353), we get a palindrome (3952912192593).

The spelling of 3530501142240 in words is "three trillion, five hundred thirty billion, five hundred one million, one hundred forty-two thousand, two hundred forty".