3682878680 has 192 divisors, whose sum is σ = 9839309760. Its totient is φ = 1230806016.

The previous prime is 3682878679. The next prime is 3682878733. The reversal of 3682878680 is 868782863.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4317134 + ... + 4317986.

It is an arithmetic number, because the mean of its divisors is an integer number (51246405).

Almost surely, 2^3682878680 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 3682878680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919654880).

3682878680 is an abundant number, since it is smaller than the sum of its proper divisors (6156431080).

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

3682878680 is a wasteful number, since it uses less digits than its factorization.

3682878680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The square root of 3682878680 is about 60686.7257314151. The cubic root of 3682878680 is about 1544.2909898812.

The spelling of 3682878680 in words is "three billion, six hundred eighty-two million, eight hundred seventy-eight thousand, six hundred eighty".