3563724420 has 144 divisors (see below), whose sum is σ = 11351313792. Its totient is φ = 903260160.

The previous prime is 3563724407. The next prime is 3563724473. The reversal of 3563724420 is 244273653.

3563724420 is a `hidden beast` number, since 3 + 563 + 72 + 4 + 4 + 20 = 666.

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

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, 672180 + ... + 677460.

It is an arithmetic number, because the mean of its divisors is an integer number (78828568).

Almost surely, 2^3563724420 is an apocalyptic number.

3563724420 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 3563724420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675656896).

3563724420 is an abundant number, since it is smaller than the sum of its proper divisors (7787589372).

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

3563724420 is a wasteful number, since it uses less digits than its factorization.

3563724420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3563724420 is about 59696.9381124359. The cubic root of 3563724420 is about 1527.4536396507.

The spelling of 3563724420 in words is "three billion, five hundred sixty-three million, seven hundred twenty-four thousand, four hundred twenty".