3630967032000 has 4032 divisors, whose sum is σ = 17302437734400. Its totient is φ = 664215552000.

The previous prime is 3630967031977. The next prime is 3630967032037. The reversal of 3630967032000 is 2307690363.

It is a self number, because there is not a number n which added to its sum of digits gives 3630967032000.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45961607961 + ... + 45961608039.

It is an arithmetic number, because the mean of its divisors is an integer number (4291279200).

Almost surely, 2^{3630967032000} is an apocalyptic number.

3630967032000 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 3630967032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651218867200).

3630967032000 is an abundant number, since it is smaller than the sum of its proper divisors (13671470702400).

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

3630967032000 is a wasteful number, since it uses less digits than its factorization.

3630967032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 39.

The spelling of 3630967032000 in words is "three trillion, six hundred thirty billion, nine hundred sixty-seven million, thirty-two thousand".