3563461440 has 336 divisors, whose sum is σ = 15282184320. Its totient is φ = 740413440.

The previous prime is 3563461423. The next prime is 3563461481. The reversal of 3563461440 is 441643653.

3563461440 is a `hidden beast` number, since 3 + 5 + 6 + 34 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 3563461395 and 3563461404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213726 + ... + 229794.

Almost surely, 2^3563461440 is an apocalyptic number.

3563461440 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 3563461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641092160).

3563461440 is an abundant number, since it is smaller than the sum of its proper divisors (11718722880).

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

3563461440 is a wasteful number, since it uses less digits than its factorization.

3563461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16110 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3563461440 is about 59694.7354462686. The cubic root of 3563461440 is about 1527.4160666333.

The spelling of 3563461440 in words is "three billion, five hundred sixty-three million, four hundred sixty-one thousand, four hundred forty".