3678380273664 has 520 divisors, whose sum is σ = 11431236407360. Its totient is φ = 1177576538112.

The previous prime is 3678380273651. The next prime is 3678380273669. The reversal of 3678380273664 is 4663720838763.

It is not an unprimeable number, because it can be changed into a prime (3678380273669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969779352 + ... + 969783144.

Almost surely, 2^{3678380273664} 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 3678380273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715618203680).

3678380273664 is an abundant number, since it is smaller than the sum of its proper divisors (7752856133696).

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

3678380273664 is an equidigital number, since it uses as much as digits as its factorization.

3678380273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3678380273664 in words is "three trillion, six hundred seventy-eight billion, three hundred eighty million, two hundred seventy-three thousand, six hundred sixty-four".