3876817280 has 192 divisors, whose sum is σ = 10856598480. Its totient is φ = 1319915520.

The previous prime is 3876817201. The next prime is 3876817289. The reversal of 3876817280 is 827186783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876817289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5675819 + ... + 5676501.

Almost surely, 2^3876817280 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 3876817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428299240).

3876817280 is an abundant number, since it is smaller than the sum of its proper divisors (6979781200).

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

3876817280 is a wasteful number, since it uses less digits than its factorization.

3876817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The square root of 3876817280 is about 62264.0930231863. The cubic root of 3876817280 is about 1570.9358262404.

The spelling of 3876817280 in words is "three billion, eight hundred seventy-six million, eight hundred seventeen thousand, two hundred eighty".