3522504305340 has 576 divisors, whose sum is σ = 11603450880000. Its totient is φ = 886098216960.

The previous prime is 3522504305339. The next prime is 3522504305389. The reversal of 3522504305340 is 435034052253.

3522504305340 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 5 + 0 + 4 + 305 + 340 = 666.

3522504305340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3522504305340² (a number of 26 digits) contains 22 as substring.

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 = 3522504305295 and 3522504305304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17701026561 + ... + 17701026759.

It is an arithmetic number, because the mean of its divisors is an integer number (20144880000).

Almost surely, 2^{3522504305340} is an apocalyptic number.

3522504305340 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 3522504305340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801725440000).

3522504305340 is an abundant number, since it is smaller than the sum of its proper divisors (8080946574660).

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

3522504305340 is a wasteful number, since it uses less digits than its factorization.

3522504305340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 438 counting only the distinct ones).

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

Adding to 3522504305340 its reverse (435034052253), we get a palindrome (3957538357593).

The spelling of 3522504305340 in words is "three trillion, five hundred twenty-two billion, five hundred four million, three hundred five thousand, three hundred forty".