3536686067040 has 576 divisors, whose sum is σ = 14176334914560. Its totient is φ = 785955778560.

The previous prime is 3536686067027. The next prime is 3536686067063. The reversal of 3536686067040 is 407606866353.

3536686067040 is a `hidden beast` number, since 3 + 536 + 6 + 8 + 6 + 0 + 67 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682887171 + ... + 682892349.

It is an arithmetic number, because the mean of its divisors is an integer number (24611692560).

Almost surely, 2^{3536686067040} is an apocalyptic number.

3536686067040 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 3536686067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088167457280).

3536686067040 is an abundant number, since it is smaller than the sum of its proper divisors (10639648847520).

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

3536686067040 is a wasteful number, since it uses less digits than its factorization.

3536686067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3536686067040 in words is "three trillion, five hundred thirty-six billion, six hundred eighty-six million, sixty-seven thousand, forty".