3536606154672 has 240 divisors, whose sum is σ = 10532920716000. Its totient is φ = 1134811399680.

The previous prime is 3536606154671. The next prime is 3536606154677. The reversal of 3536606154672 is 2764516066353.

3536606154672 is a `hidden beast` number, since 3 + 5 + 36 + 6 + 0 + 61 + 546 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3536606154671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4988160654 + ... + 4988161362.

It is an arithmetic number, because the mean of its divisors is an integer number (43887169650).

Almost surely, 2^{3536606154672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3536606154672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266460358000).

3536606154672 is an abundant number, since it is smaller than the sum of its proper divisors (6996314561328).

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

3536606154672 is an equidigital number, since it uses as much as digits as its factorization.

3536606154672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3536606154672 in words is "three trillion, five hundred thirty-six billion, six hundred six million, one hundred fifty-four thousand, six hundred seventy-two".