3543253560 has 768 divisors, whose sum is σ = 15559464960. Its totient is φ = 676823040.

The previous prime is 3543253501. The next prime is 3543253591. The reversal of 3543253560 is 653523453.

3543253560 is a `hidden beast` number, since 3 + 5 + 43 + 2 + 53 + 560 = 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 191 ways as a sum of consecutive naturals, for example, 34400469 + ... + 34400571.

It is an arithmetic number, because the mean of its divisors is an integer number (20259720).

Almost surely, 2^3543253560 is an apocalyptic number.

3543253560 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 3543253560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779732480).

3543253560 is an abundant number, since it is smaller than the sum of its proper divisors (12016211400).

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

3543253560 is a wasteful number, since it uses less digits than its factorization.

3543253560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3543253560 is about 59525.2346488445. The cubic root of 3543253560 is about 1524.5233389794.

The spelling of 3543253560 in words is "three billion, five hundred forty-three million, two hundred fifty-three thousand, five hundred sixty".