3836564352 has 160 divisors (see below), whose sum is σ = 12089729520. Its totient is φ = 1203572736.

The previous prime is 3836564323. The next prime is 3836564357. The reversal of 3836564352 is 2534656383.

3836564352 is a `hidden beast` number, since 3 + 8 + 36 + 564 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3836564298 and 3836564307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836564357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165373 + ... + 187139.

Almost surely, 2^3836564352 is an apocalyptic number.

3836564352 is a gapful number since it is divisible by the number (32) 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 3836564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044864760).

3836564352 is an abundant number, since it is smaller than the sum of its proper divisors (8253165168).

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

3836564352 is a wasteful number, since it uses less digits than its factorization.

3836564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21810 (or 21789 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3836564352 is about 61940.0060703904. The cubic root of 3836564352 is about 1565.4798995076.

The spelling of 3836564352 in words is "three billion, eight hundred thirty-six million, five hundred sixty-four thousand, three hundred fifty-two".