3878788680 has 320 divisors, whose sum is σ = 14868509040. Its totient is φ = 898449408.

The previous prime is 3878788673. The next prime is 3878788681. The reversal of 3878788680 is 868878783.

3878788680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 641406276 + 3237382404 = 25326^2 + 56898^2 .

It is a super-2 number, since 2×3878788680² = 30090003248192284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3878788681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 713332 + ... + 718748.

Almost surely, 2^3878788680 is an apocalyptic number.

3878788680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878788680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434254520).

3878788680 is an abundant number, since it is smaller than the sum of its proper divisors (10989720360).

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

3878788680 is a wasteful number, since it uses less digits than its factorization.

3878788680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The square root of 3878788680 is about 62279.9219652690. The cubic root of 3878788680 is about 1571.2020599291.

The spelling of 3878788680 in words is "three billion, eight hundred seventy-eight million, seven hundred eighty-eight thousand, six hundred eighty".