3603360632448 has 256 divisors, whose sum is σ = 10544612140800. Its totient is φ = 1085165469696.

The previous prime is 3603360632447. The next prime is 3603360632461. The reversal of 3603360632448 is 8442360633063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3603360632397 and 3603360632406.

It is not an unprimeable number, because it can be changed into a prime (3603360632447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32695965 + ... + 32805987.

It is an arithmetic number, because the mean of its divisors is an integer number (41189891175).

Almost surely, 2^{3603360632448} 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 3603360632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272306070400).

3603360632448 is an abundant number, since it is smaller than the sum of its proper divisors (6941251508352).

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

3603360632448 is a wasteful number, since it uses less digits than its factorization.

3603360632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110259 (or 110247 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 3603360632448 in words is "three trillion, six hundred three billion, three hundred sixty million, six hundred thirty-two thousand, four hundred forty-eight".