3563743680 has 336 divisors, whose sum is σ = 14338182144. Its totient is φ = 795432960.

The previous prime is 3563743669. The next prime is 3563743681. The reversal of 3563743680 is 863473653.

3563743680 is a `hidden beast` number, since 3 + 5 + 637 + 4 + 3 + 6 + 8 + 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563743681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864825 + ... + 868935.

Almost surely, 2^3563743680 is an apocalyptic number.

3563743680 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 3563743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169091072).

3563743680 is an abundant number, since it is smaller than the sum of its proper divisors (10774438464).

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

3563743680 is a wasteful number, since it uses less digits than its factorization.

3563743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3563743680 is about 59697.0994270241. The cubic root of 3563743680 is about 1527.4563913323.

The spelling of 3563743680 in words is "three billion, five hundred sixty-three million, seven hundred forty-three thousand, six hundred eighty".