3826887680 has 352 divisors, whose sum is σ = 12139725312. Its totient is φ = 1120665600.

The previous prime is 3826887671. The next prime is 3826887703. The reversal of 3826887680 is 867886283.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6701795 + ... + 6702365.

It is an arithmetic number, because the mean of its divisors is an integer number (34487856).

Almost surely, 2^3826887680 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 3826887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069862656).

3826887680 is an abundant number, since it is smaller than the sum of its proper divisors (8312837632).

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

3826887680 is a wasteful number, since it uses less digits than its factorization.

3826887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

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

The square root of 3826887680 is about 61861.8434901515. The cubic root of 3826887680 is about 1564.1626281092.

The spelling of 3826887680 in words is "three billion, eight hundred twenty-six million, eight hundred eighty-seven thousand, six hundred eighty".