3726564500 has 48 divisors (see below), whose sum is σ = 8193603600. Its totient is φ = 1480592000.

The previous prime is 3726564469. The next prime is 3726564521. The reversal of 3726564500 is 54656273.

It can be written as a sum of positive squares in 8 ways, for example, as 1641546256 + 2085018244 = 40516^2 + 45662^2 .

It is a super-3 number, since 3×3726564500³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49490 + ... + 99510.

It is an arithmetic number, because the mean of its divisors is an integer number (170700075).

Almost surely, 2^3726564500 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 3726564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096801800).

3726564500 is an abundant number, since it is smaller than the sum of its proper divisors (4467039100).

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

3726564500 is a wasteful number, since it uses less digits than its factorization.

3726564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50189 (or 50177 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 3726564500 is about 61045.5936165748. The cubic root of 3726564500 is about 1550.3730631674.

The spelling of 3726564500 in words is "three billion, seven hundred twenty-six million, five hundred sixty-four thousand, five hundred".