3782668032 has 576 divisors, whose sum is σ = 13598323200. Its totient is φ = 1021870080.

The previous prime is 3782668013. The next prime is 3782668037. The reversal of 3782668032 is 2308662873.

3782668032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782668037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42501844 + ... + 42501932.

It is an arithmetic number, because the mean of its divisors is an integer number (23608200).

Almost surely, 2^3782668032 is an apocalyptic number.

3782668032 is a gapful number since it is divisible by the number (32) 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 3782668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799161600).

3782668032 is an abundant number, since it is smaller than the sum of its proper divisors (9815655168).

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

3782668032 is a wasteful number, since it uses less digits than its factorization.

3782668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3782668032 is about 61503.3985402433. The cubic root of 3782668032 is about 1558.1146454296.

The spelling of 3782668032 in words is "three billion, seven hundred eighty-two million, six hundred sixty-eight thousand, thirty-two".