3536447016960 has 624 divisors, whose sum is σ = 14401333372608. Its totient is φ = 791366860800.

The previous prime is 3536447016943. The next prime is 3536447016983. The reversal of 3536447016960 is 696107446353.

3536447016960 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 4 + 470 + 169 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 3536447016897 and 3536447016906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26290675 + ... + 26424845.

It is an arithmetic number, because the mean of its divisors is an integer number (23079059892).

Almost surely, 2^{3536447016960} is an apocalyptic number.

3536447016960 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 3536447016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200666686304).

3536447016960 is an abundant number, since it is smaller than the sum of its proper divisors (10864886355648).

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

3536447016960 is a wasteful number, since it uses less digits than its factorization.

3536447016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134230 (or 134205 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3536447016960 in words is "three trillion, five hundred thirty-six billion, four hundred forty-seven million, sixteen thousand, nine hundred sixty".