3564806436 has 135 divisors (see below), whose sum is σ = 9720257547. Its totient is φ = 1139190480.

The previous prime is 3564806419. The next prime is 3564806437. The reversal of 3564806436 is 6346084653.

The square root of 3564806436 is 59706.

It is a perfect power (a square), and thus also a powerful number.

3564806436 is a `hidden beast` number, since 3 + 564 + 80 + 6 + 4 + 3 + 6 = 666.

It is a super-2 number, since 2×3564806436² = 25415689852294044192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3564806391 and 3564806400.

It is not an unprimeable number, because it can be changed into a prime (3564806437) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33315895 + ... + 33316001.

Almost surely, 2^3564806436 is an apocalyptic number.

3564806436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3564806436 is the 59706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564806436

3564806436 is an abundant number, since it is smaller than the sum of its proper divisors (6155451111).

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

3564806436 is a wasteful number, since it uses less digits than its factorization.

3564806436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The cubic root of 3564806436 is about 1527.6082122125.

It can be divided in two parts, 3564 and 806436, that added together give a 4-th power (810000 = 30⁴).

The spelling of 3564806436 in words is "three billion, five hundred sixty-four million, eight hundred six thousand, four hundred thirty-six".