3563031456 has 96 divisors (see below), whose sum is σ = 10523923200. Its totient is φ = 1172620800.

The previous prime is 3563031427. The next prime is 3563031463. The reversal of 3563031456 is 6541303653.

3563031456 is a `hidden beast` number, since 3 + 5 + 630 + 3 + 14 + 5 + 6 = 666.

3563031456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3563031456.

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, 42156 + ... + 94356.

It is an arithmetic number, because the mean of its divisors is an integer number (109624200).

Almost surely, 2^3563031456 is an apocalyptic number.

3563031456 is a gapful number since it is divisible by the number (36) 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 3563031456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261961600).

3563031456 is an abundant number, since it is smaller than the sum of its proper divisors (6960891744).

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

3563031456 is a wasteful number, since it uses less digits than its factorization.

3563031456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52299 (or 52285 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3563031456 is about 59691.1338139928. The cubic root of 3563031456 is about 1527.3546290958.

The spelling of 3563031456 in words is "three billion, five hundred sixty-three million, thirty-one thousand, four hundred fifty-six".