3782636928 has 256 divisors, whose sum is σ = 13023360000. Its totient is φ = 1080414720.

The previous prime is 3782636863. The next prime is 3782637013. The reversal of 3782636928 is 8296362873.

It is a happy number.

3782636928 is a `hidden beast` number, since 378 + 263 + 6 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183813 + ... + 1187003.

It is an arithmetic number, because the mean of its divisors is an integer number (50872500).

Almost surely, 2^3782636928 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 3782636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680000).

3782636928 is an abundant number, since it is smaller than the sum of its proper divisors (9240723072).

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

3782636928 is an equidigital number, since it uses as much as digits as its factorization.

3782636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3203 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3782636928 is about 61503.1456756482. The cubic root of 3782636928 is about 1558.1103747463.

The spelling of 3782636928 in words is "three billion, seven hundred eighty-two million, six hundred thirty-six thousand, nine hundred twenty-eight".