3726008064 has 108 divisors (see below), whose sum is σ = 10761660000. Its totient is φ = 1239846912.

The previous prime is 3726008059. The next prime is 3726008071. The reversal of 3726008064 is 4608006273.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1862937 + ... + 1864935.

It is an arithmetic number, because the mean of its divisors is an integer number (99645000).

Almost surely, 2^3726008064 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 3726008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380830000).

3726008064 is an abundant number, since it is smaller than the sum of its proper divisors (7035651936).

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

3726008064 is a wasteful number, since it uses less digits than its factorization.

3726008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3726008064 is about 61041.0359020880. The cubic root of 3726008064 is about 1550.2958941174.

The spelling of 3726008064 in words is "three billion, seven hundred twenty-six million, eight thousand, sixty-four".