3782814876 has 72 divisors (see below), whose sum is σ = 10033994880. Its totient is φ = 1199329824.

The previous prime is 3782814863. The next prime is 3782814901. The reversal of 3782814876 is 6784182873.

It is a happy number.

3782814876 is a `hidden beast` number, since 3 + 7 + 82 + 81 + 487 + 6 = 666.

3782814876 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135451 + ... + 160973.

It is an arithmetic number, because the mean of its divisors is an integer number (139361040).

Almost surely, 2^3782814876 is an apocalyptic number.

3782814876 is a gapful number since it is divisible by the number (36) 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 3782814876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016997440).

3782814876 is an abundant number, since it is smaller than the sum of its proper divisors (6251180004).

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

3782814876 is a wasteful number, since it uses less digits than its factorization.

3782814876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25735 (or 25730 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 3782814876 is about 61504.5923163466. The cubic root of 3782814876 is about 1558.1348072857.

The spelling of 3782814876 in words is "three billion, seven hundred eighty-two million, eight hundred fourteen thousand, eight hundred seventy-six".