3728040000 has 280 divisors, whose sum is σ = 12607064448. Its totient is φ = 971520000.

The previous prime is 3728039983. The next prime is 3728040011. The reversal of 3728040000 is 408273.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 5639670 + ... + 5640330.

Almost surely, 2^3728040000 is an apocalyptic number.

3728040000 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 3728040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303532224).

3728040000 is an abundant number, since it is smaller than the sum of its proper divisors (8879024448).

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

3728040000 is an equidigital number, since it uses as much as digits as its factorization.

3728040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3728040000 is about 61057.6776499074. The cubic root of 3728040000 is about 1550.5776549665.

Adding to 3728040000 its reverse (408273), we get a palindrome (3728448273).

The spelling of 3728040000 in words is "three billion, seven hundred twenty-eight million, forty thousand".