3669560838144 has 336 divisors, whose sum is σ = 11050030964700. Its totient is φ = 1217732050944.

The previous prime is 3669560838121. The next prime is 3669560838161. The reversal of 3669560838144 is 4418380659663.

3669560838144 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 5 + 608 + 3 + 8 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3669094278144 + 466560000 = 1915488^2 + 21600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 341889802 + ... + 341900534.

Almost surely, 2^{3669560838144} 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 3669560838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525015482350).

3669560838144 is an abundant number, since it is smaller than the sum of its proper divisors (7380470126556).

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

3669560838144 is an equidigital number, since it uses as much as digits as its factorization.

3669560838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3669560838144 in words is "three trillion, six hundred sixty-nine billion, five hundred sixty million, eight hundred thirty-eight thousand, one hundred forty-four".