3536587161600 has 1536 divisors, whose sum is σ = 13340199744000. Its totient is φ = 822167470080.

The previous prime is 3536587161559. The next prime is 3536587161629. The reversal of 3536587161600 is 61617856353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

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, 39736934356 + ... + 39736934444.

It is an arithmetic number, because the mean of its divisors is an integer number (8685025875).

Almost surely, 2^{3536587161600} is an apocalyptic number.

3536587161600 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 3536587161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670099872000).

3536587161600 is an abundant number, since it is smaller than the sum of its proper divisors (9803612582400).

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

3536587161600 is a wasteful number, since it uses less digits than its factorization.

3536587161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 3536587161600 in words is "three trillion, five hundred thirty-six billion, five hundred eighty-seven million, one hundred sixty-one thousand, six hundred".