3815027328 has 128 divisors (see below), whose sum is σ = 12191040000. Its totient is φ = 1032625152.

The previous prime is 3815027323. The next prime is 3815027351. The reversal of 3815027328 is 8237205183.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3815027323) by changing a digit.

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, 13723 + ... + 88421.

It is an arithmetic number, because the mean of its divisors is an integer number (95242500).

Almost surely, 2^3815027328 is an apocalyptic number.

3815027328 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 3815027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095520000).

3815027328 is an abundant number, since it is smaller than the sum of its proper divisors (8376012672).

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

3815027328 is a wasteful number, since it uses less digits than its factorization.

3815027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74742 (or 74730 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 3815027328 is about 61765.9074894881. The cubic root of 3815027328 is about 1562.5450632166.

The spelling of 3815027328 in words is "three billion, eight hundred fifteen million, twenty-seven thousand, three hundred twenty-eight".