3769635984468 has 192 divisors, whose sum is σ = 9825747337728. Its totient is φ = 1118704435200.

The previous prime is 3769635984463. The next prime is 3769635984469. The reversal of 3769635984468 is 8644895369673.

It is a junction number, because it is equal to n+sod(n) for n = 3769635984393 and 3769635984402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3769635984463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865188546 + ... + 865192902.

It is an arithmetic number, because the mean of its divisors is an integer number (51175767384).

Almost surely, 2^{3769635984468} 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 3769635984468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912873668864).

3769635984468 is an abundant number, since it is smaller than the sum of its proper divisors (6056111353260).

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

3769635984468 is a wasteful number, since it uses less digits than its factorization.

3769635984468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6400 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 78.

The spelling of 3769635984468 in words is "three trillion, seven hundred sixty-nine billion, six hundred thirty-five million, nine hundred eighty-four thousand, four hundred sixty-eight".