3609505234944 has 952 divisors, whose sum is σ = 12707788528512. Its totient is φ = 1003290624000.

The previous prime is 3609505234931. The next prime is 3609505234949. The reversal of 3609505234944 is 4494325059063.

3609505234944 is a `hidden beast` number, since 3 + 60 + 9 + 50 + 523 + 4 + 9 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3609505234949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14380498819 + ... + 14380499069.

Almost surely, 2^{3609505234944} 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 3609505234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353894264256).

3609505234944 is an abundant number, since it is smaller than the sum of its proper divisors (9098283293568).

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

3609505234944 is an frugal number, since it uses more digits than its factorization.

3609505234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3609505234944 in words is "three trillion, six hundred nine billion, five hundred five million, two hundred thirty-four thousand, nine hundred forty-four".