3686532449600 has 1344 divisors, whose sum is σ = 12886119235584. Its totient is φ = 1000857600000.

The previous prime is 3686532449591. The next prime is 3686532449647. The reversal of 3686532449600 is 69442356863.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2035632695 + ... + 2035634505.

It is an arithmetic number, because the mean of its divisors is an integer number (9587886336).

Almost surely, 2^{3686532449600} 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 3686532449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443059617792).

3686532449600 is an abundant number, since it is smaller than the sum of its proper divisors (9199586785984).

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

3686532449600 is a wasteful number, since it uses less digits than its factorization.

3686532449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 56.

The spelling of 3686532449600 in words is "three trillion, six hundred eighty-six billion, five hundred thirty-two million, four hundred forty-nine thousand, six hundred".