3536868329280 has 672 divisors, whose sum is σ = 14401483544448. Its totient is φ = 785413324800.

The previous prime is 3536868329279. The next prime is 3536868329287. The reversal of 3536868329280 is 829238686353.

3536868329280 is a `hidden beast` number, since 3 + 536 + 8 + 6 + 8 + 3 + 2 + 92 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536868329287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53918262 + ... + 53983818.

It is an arithmetic number, because the mean of its divisors is an integer number (21430779084).

Almost surely, 2^{3536868329280} is an apocalyptic number.

3536868329280 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 3536868329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200741772224).

3536868329280 is an abundant number, since it is smaller than the sum of its proper divisors (10864615215168).

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

3536868329280 is a wasteful number, since it uses less digits than its factorization.

3536868329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65735 (or 65722 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3536868329280 in words is "three trillion, five hundred thirty-six billion, eight hundred sixty-eight million, three hundred twenty-nine thousand, two hundred eighty".