3616416100000 has 576 divisors, whose sum is σ = 10045604790144. Its totient is φ = 1270080000000.

The previous prime is 3616416099997. The next prime is 3616416100009. The reversal of 3616416100000 is 16146163.

It is not an unprimeable number, because it can be changed into a prime (3616416100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4777299622 + ... + 4777300378.

It is an arithmetic number, because the mean of its divisors is an integer number (17440286094).

Almost surely, 2^{3616416100000} 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 3616416100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022802395072).

3616416100000 is an abundant number, since it is smaller than the sum of its proper divisors (6429188690144).

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

3616416100000 is a wasteful number, since it uses less digits than its factorization.

3616416100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 3616416100000 in words is "three trillion, six hundred sixteen billion, four hundred sixteen million, one hundred thousand".