3836564500 has 48 divisors (see below), whose sum is σ = 8516486160. Its totient is φ = 1509456000.

The previous prime is 3836564491. The next prime is 3836564513. The reversal of 3836564500 is 54656383.

It can be written as a sum of positive squares in 8 ways, for example, as 2453617156 + 1382947344 = 49534^2 + 37188^2 .

It is a super-3 number, since 3×3836564500³ (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, 32395 + ... + 93394.

It is an arithmetic number, because the mean of its divisors is an integer number (177426795).

Almost surely, 2^3836564500 is an apocalyptic number.

It is an amenable number.

3836564500 is an abundant number, since it is smaller than the sum of its proper divisors (4679921660).

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

3836564500 is a wasteful number, since it uses less digits than its factorization.

3836564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125869 (or 125857 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 3836564500 is about 61940.0072650948. The cubic root of 3836564500 is about 1565.4799196377.

The spelling of 3836564500 in words is "three billion, eight hundred thirty-six million, five hundred sixty-four thousand, five hundred".