3563745120 has 768 divisors, whose sum is σ = 14631321600. Its totient is φ = 802897920.

The previous prime is 3563745113. The next prime is 3563745149. The reversal of 3563745120 is 215473653.

3563745120 is a `hidden beast` number, since 3 + 5 + 637 + 4 + 5 + 12 + 0 = 666.

3563745120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40042036 + ... + 40042124.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^3563745120 is an apocalyptic number.

3563745120 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 3563745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

3563745120 is an abundant number, since it is smaller than the sum of its proper divisors (11067576480).

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

3563745120 is a wasteful number, since it uses less digits than its factorization.

3563745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3563745120 is about 59697.1114879104. Note that the first 3 decimals coincide. The cubic root of 3563745120 is about 1527.4565970651.

The spelling of 3563745120 in words is "three billion, five hundred sixty-three million, seven hundred forty-five thousand, one hundred twenty".