3780868680 has 384 divisors, whose sum is σ = 13636771200. Its totient is φ = 904421376.

The previous prime is 3780868673. The next prime is 3780868703. The reversal of 3780868680 is 868680873.

It is a happy number.

3780868680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13359819 + ... + 13360101.

It is an arithmetic number, because the mean of its divisors is an integer number (35512425).

Almost surely, 2^3780868680 is an apocalyptic number.

3780868680 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 3780868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818385600).

3780868680 is an abundant number, since it is smaller than the sum of its proper divisors (9855902520).

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

3780868680 is a wasteful number, since it uses less digits than its factorization.

3780868680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 3780868680 is about 61488.7687305576. The cubic root of 3780868680 is about 1557.8675498753.

The spelling of 3780868680 in words is "three billion, seven hundred eighty million, eight hundred sixty-eight thousand, six hundred eighty".