3563838720 has 432 divisors, whose sum is σ = 13559691600. Its totient is φ = 858783744.

The previous prime is 3563838703. The next prime is 3563838749. The reversal of 3563838720 is 278383653.

3563838720 is a `hidden beast` number, since 3 + 5 + 638 + 3 + 8 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32626944 + 3531211776 = 5712^2 + 59424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7937056 + ... + 7937504.

It is an arithmetic number, because the mean of its divisors is an integer number (31388175).

Almost surely, 2^3563838720 is an apocalyptic number.

3563838720 is a gapful number since it is divisible by the number (30) 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 3563838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779845800).

3563838720 is an abundant number, since it is smaller than the sum of its proper divisors (9995852880).

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

3563838720 is a wasteful number, since it uses less digits than its factorization.

3563838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3563838720 is about 59697.8954402917. The cubic root of 3563838720 is about 1527.4699695783.

The spelling of 3563838720 in words is "three billion, five hundred sixty-three million, eight hundred thirty-eight thousand, seven hundred twenty".