3726525824 has 128 divisors (see below), whose sum is σ = 8744500800. Its totient is φ = 1548877824.

The previous prime is 3726525823. The next prime is 3726525833. The reversal of 3726525824 is 4285256273.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726525823) 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, 4605932 + ... + 4606740.

Almost surely, 2^3726525824 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 3726525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372250400).

3726525824 is an abundant number, since it is smaller than the sum of its proper divisors (5017974976).

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

3726525824 is an equidigital number, since it uses as much as digits as its factorization.

3726525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The square root of 3726525824 is about 61045.2768361320. The cubic root of 3726525824 is about 1550.3676996540.

The spelling of 3726525824 in words is "three billion, seven hundred twenty-six million, five hundred twenty-five thousand, eight hundred twenty-four".