3609497548800 has 3456 divisors, whose sum is σ = 16941978144000. Its totient is φ = 740524032000.

The previous prime is 3609497548771. The next prime is 3609497548841. The reversal of 3609497548800 is 88457949063.

3609497548800 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 4 + 9 + 7 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 116435404785 + ... + 116435404815.

It is an arithmetic number, because the mean of its divisors is an integer number (4902192750).

Almost surely, 2^{3609497548800} is an apocalyptic number.

3609497548800 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 3609497548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470989072000).

3609497548800 is an abundant number, since it is smaller than the sum of its proper divisors (13332480595200).

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

3609497548800 is a wasteful number, since it uses less digits than its factorization.

3609497548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3609497548800 in words is "three trillion, six hundred nine billion, four hundred ninety-seven million, five hundred forty-eight thousand, eight hundred".