3617160099400 has 96 divisors (see below), whose sum is σ = 8705757249000. Its totient is φ = 1396030648320.

The previous prime is 3617160099359. The next prime is 3617160099451. The reversal of 3617160099400 is 49900617163.

It is a happy number.

3617160099400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 665271872164 + 2951888227236 = 815642^2 + 1718106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8426782 + ... + 8845618.

Almost surely, 2^{3617160099400} 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 3617160099400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352878624500).

3617160099400 is an abundant number, since it is smaller than the sum of its proper divisors (5088597149600).

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

3617160099400 is a wasteful number, since it uses less digits than its factorization.

3617160099400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420371 (or 420362 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 3617160099400 in words is "three trillion, six hundred seventeen billion, one hundred sixty million, ninety-nine thousand, four hundred".