3536412195960 has 512 divisors, whose sum is σ = 13851233280000. Its totient is φ = 785803106304.

The previous prime is 3536412195947. The next prime is 3536412195989. The reversal of 3536412195960 is 695912146353.

3536412195960 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 41 + 2 + 1 + 9 + 596 + 0 = 666.

It is a super-2 number, since 2×3536412195960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3536412195897 and 3536412195906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52909282 + ... + 52976078.

It is an arithmetic number, because the mean of its divisors is an integer number (27053190000).

Almost surely, 2^{3536412195960} is an apocalyptic number.

3536412195960 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 3536412195960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925616640000).

3536412195960 is an abundant number, since it is smaller than the sum of its proper divisors (10314821084040).

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

3536412195960 is a wasteful number, since it uses less digits than its factorization.

3536412195960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67020 (or 67010 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3536412195960 in words is "three trillion, five hundred thirty-six billion, four hundred twelve million, one hundred ninety-five thousand, nine hundred sixty".