3728341728 has 216 divisors, whose sum is σ = 11548391400. Its totient is φ = 1137784320.

The previous prime is 3728341691. The next prime is 3728341739. The reversal of 3728341728 is 8271438273.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5258238 + ... + 5258946.

It is an arithmetic number, because the mean of its divisors is an integer number (53464775).

Almost surely, 2^3728341728 is an apocalyptic number.

3728341728 is a gapful number since it is divisible by the number (38) 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 3728341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774195700).

3728341728 is an abundant number, since it is smaller than the sum of its proper divisors (7820049672).

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

3728341728 is a wasteful number, since it uses less digits than its factorization.

3728341728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 764 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 3728341728 is about 61060.1484439728. The cubic root of 3728341728 is about 1550.6194857116.

The spelling of 3728341728 in words is "three billion, seven hundred twenty-eight million, three hundred forty-one thousand, seven hundred twenty-eight".