3563405460 has 144 divisors (see below), whose sum is σ = 11246953536. Its totient is φ = 947054592.

The previous prime is 3563405431. The next prime is 3563405501. The reversal of 3563405460 is 645043653.

3563405460 is a `hidden beast` number, since 3 + 563 + 40 + 54 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1685364 + ... + 1687476.

It is an arithmetic number, because the mean of its divisors is an integer number (78103844).

Almost surely, 2^3563405460 is an apocalyptic number.

3563405460 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 3563405460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623476768).

3563405460 is an abundant number, since it is smaller than the sum of its proper divisors (7683548076).

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

3563405460 is a wasteful number, since it uses less digits than its factorization.

3563405460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3563405460 is about 59694.2665588581. The cubic root of 3563405460 is about 1527.4080683054.

The spelling of 3563405460 in words is "three billion, five hundred sixty-three million, four hundred five thousand, four hundred sixty".