3536861275200 has 672 divisors, whose sum is σ = 13088145162240. Its totient is φ = 828426240000.

The previous prime is 3536861275193. The next prime is 3536861275223. The reversal of 3536861275200 is 25721686353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3536861275200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1324169865 + ... + 1324172535.

Almost surely, 2^{3536861275200} is an apocalyptic number.

3536861275200 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 3536861275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544072581120).

3536861275200 is an abundant number, since it is smaller than the sum of its proper divisors (9551283887040).

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

3536861275200 is a wasteful number, since it uses less digits than its factorization.

3536861275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 3536861275200 in words is "three trillion, five hundred thirty-six billion, eight hundred sixty-one million, two hundred seventy-five thousand, two hundred".