3531352340032 has 224 divisors, whose sum is σ = 8105156889984. Its totient is φ = 1511903232000.

The previous prime is 3531352339993. The next prime is 3531352340071. The reversal of 3531352340032 is 2300432531353.

It is an interprime number because it is at equal distance from previous prime (3531352339993) and next prime (3531352340071).

It is a super-2 number, since 2×3531352340032² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3531352340032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126553282 + ... + 126581182.

It is an arithmetic number, because the mean of its divisors is an integer number (36183736116).

Almost surely, 2^{3531352340032} is an apocalyptic number.

3531352340032 is a gapful number since it is divisible by the number (32) 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 3531352340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052578444992).

3531352340032 is an abundant number, since it is smaller than the sum of its proper divisors (4573804549952).

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

3531352340032 is a wasteful number, since it uses less digits than its factorization.

3531352340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28117 (or 28107 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 34.

Adding to 3531352340032 its reverse (2300432531353), we get a palindrome (5831784871385).

The spelling of 3531352340032 in words is "three trillion, five hundred thirty-one billion, three hundred fifty-two million, three hundred forty thousand, thirty-two".