3928227840 has 380 divisors, whose sum is σ = 14464029756. Its totient is φ = 1019215872.

The previous prime is 3928227833. The next prime is 3928227841. The reversal of 3928227840 is 487228293.

It can be written as a sum of positive squares in 2 ways, for example, as 2569273344 + 1358954496 = 50688^2 + 36864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3928227841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106168302 + ... + 106168338.

Almost surely, 2^3928227840 is an apocalyptic number.

3928227840 is a gapful number since it is divisible by the number (30) 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 3928227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232014878).

3928227840 is an abundant number, since it is smaller than the sum of its proper divisors (10535801916).

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

3928227840 is an frugal number, since it uses more digits than its factorization.

3928227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3928227840 is about 62675.5761042529. The cubic root of 3928227840 is about 1577.8494268564.

The spelling of 3928227840 in words is "three billion, nine hundred twenty-eight million, two hundred twenty-seven thousand, eight hundred forty".