352540712736 has 216 divisors, whose sum is σ = 1050171677100. Its totient is φ = 112158535680.

The previous prime is 352540712701. The next prime is 352540712737. The reversal of 352540712736 is 637217045253.

352540712736 is a `hidden beast` number, since 3 + 5 + 2 + 540 + 71 + 2 + 7 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301888709136 + 50652003600 = 549444^2 + 225060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 352540712691 and 352540712700.

It is not an unprimeable number, because it can be changed into a prime (352540712737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20195340 + ... + 20212788.

Almost surely, 2^352540712736 is an apocalyptic number.

352540712736 is a gapful number since it is divisible by the number (36) 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 352540712736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525085838550).

352540712736 is an abundant number, since it is smaller than the sum of its proper divisors (697630964364).

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

352540712736 is a wasteful number, since it uses less digits than its factorization.

352540712736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17600 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

Adding to 352540712736 its reverse (637217045253), we get a palindrome (989757757989).

The spelling of 352540712736 in words is "three hundred fifty-two billion, five hundred forty million, seven hundred twelve thousand, seven hundred thirty-six".