3782884816 has 40 divisors (see below), whose sum is σ = 7591701600. Its totient is φ = 1823902080.

The previous prime is 3782884801. The next prime is 3782884849. The reversal of 3782884816 is 6184882873.

It is a super-2 number, since 2×3782884816² = 28620435062246707712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393831 + ... + 403321.

It is an arithmetic number, because the mean of its divisors is an integer number (189792540).

Almost surely, 2^3782884816 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 3782884816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795850800).

3782884816 is an abundant number, since it is smaller than the sum of its proper divisors (3808816784).

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

3782884816 is a wasteful number, since it uses less digits than its factorization.

3782884816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10381 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 55.

The square root of 3782884816 is about 61505.1608891482. The cubic root of 3782884816 is about 1558.1444099476.

The spelling of 3782884816 in words is "three billion, seven hundred eighty-two million, eight hundred eighty-four thousand, eight hundred sixteen".