3631213976960 has 128 divisors (see below), whose sum is σ = 8905663337760. Its totient is φ = 1414977372160.

The previous prime is 3631213976959. The next prime is 3631213976969. The reversal of 3631213976960 is 696793121363.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3631213976896 and 3631213976905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631213976969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17820614 + ... + 18023226.

Almost surely, 2^{3631213976960} 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 3631213976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452831668880).

3631213976960 is an abundant number, since it is smaller than the sum of its proper divisors (5274449360800).

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

3631213976960 is a wasteful number, since it uses less digits than its factorization.

3631213976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203356 (or 203344 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 56.

The spelling of 3631213976960 in words is "three trillion, six hundred thirty-one billion, two hundred thirteen million, nine hundred seventy-six thousand, nine hundred sixty".