3728026000 has 80 divisors (see below), whose sum is σ = 9028850688. Its totient is φ = 1488816000.

The previous prime is 3728025953. The next prime is 3728026007. The reversal of 3728026000 is 6208273.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3728026000.

It is not an unprimeable number, because it can be changed into a prime (3728026007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764945 + ... + 1767055.

Almost surely, 2^3728026000 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 3728026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514425344).

3728026000 is an abundant number, since it is smaller than the sum of its proper divisors (5300824688).

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

3728026000 is a wasteful number, since it uses less digits than its factorization.

3728026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3728026000 is about 61057.5630041029. The cubic root of 3728026000 is about 1550.5757139899.

The spelling of 3728026000 in words is "three billion, seven hundred twenty-eight million, twenty-six thousand".