3782646784 has 176 divisors, whose sum is σ = 9243924480. Its totient is φ = 1512161280.

The previous prime is 3782646737. The next prime is 3782646793. The reversal of 3782646784 is 4876462873.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6443739 + ... + 6444325.

Almost surely, 2^3782646784 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 3782646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621962240).

3782646784 is an abundant number, since it is smaller than the sum of its proper divisors (5461277696).

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

3782646784 is a wasteful number, since it uses less digits than its factorization.

3782646784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 656 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 55.

The square root of 3782646784 is about 61503.2258015789. The cubic root of 3782646784 is about 1558.1117280106. Note that the first 3 decimals are identical.

The spelling of 3782646784 in words is "three billion, seven hundred eighty-two million, six hundred forty-six thousand, seven hundred eighty-four".