3780864780 has 192 divisors, whose sum is σ = 13624934400. Its totient is φ = 760262400.

The previous prime is 3780864743. The next prime is 3780864799. The reversal of 3780864780 is 874680873.

3780864780 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 is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130021 + ... + 156419.

It is an arithmetic number, because the mean of its divisors is an integer number (70963200).

Almost surely, 2^3780864780 is an apocalyptic number.

3780864780 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 3780864780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812467200).

3780864780 is an abundant number, since it is smaller than the sum of its proper divisors (9844069620).

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

3780864780 is a wasteful number, since it uses less digits than its factorization.

3780864780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26460 (or 26458 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 3780864780 is about 61488.7370174408. The cubic root of 3780864780 is about 1557.8670142236.

The spelling of 3780864780 in words is "three billion, seven hundred eighty million, eight hundred sixty-four thousand, seven hundred eighty".