3768832704 has 224 divisors, whose sum is σ = 12919943680. Its totient is φ = 941580288.

The previous prime is 3768832673. The next prime is 3768832747. The reversal of 3768832704 is 4072388673.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 326292 + ... + 337644.

It is an arithmetic number, because the mean of its divisors is an integer number (57678320).

Almost surely, 2^3768832704 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 3768832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459971840).

3768832704 is an abundant number, since it is smaller than the sum of its proper divisors (9151110976).

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

3768832704 is a wasteful number, since it uses less digits than its factorization.

3768832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 3768832704 is about 61390.8193787964. The cubic root of 3768832704 is about 1556.2126931074.

The spelling of 3768832704 in words is "three billion, seven hundred sixty-eight million, eight hundred thirty-two thousand, seven hundred four".