3660455436000 has 768 divisors, whose sum is σ = 14226002638848. Its totient is φ = 812593152000.

The previous prime is 3660455435999. The next prime is 3660455436007. The reversal of 3660455436000 is 6345540663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660455436007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83005957 + ... + 83050043.

It is an arithmetic number, because the mean of its divisors is an integer number (18523440936).

Almost surely, 2^{3660455436000} is an apocalyptic number.

3660455436000 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 3660455436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113001319424).

3660455436000 is an abundant number, since it is smaller than the sum of its proper divisors (10565547202848).

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

3660455436000 is a wasteful number, since it uses less digits than its factorization.

3660455436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44180 (or 44162 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3660455436000 in words is "three trillion, six hundred sixty billion, four hundred fifty-five million, four hundred thirty-six thousand".