3556546560 has 576 divisors, whose sum is σ = 14565096000. Its totient is φ = 785645568.

The previous prime is 3556546537. The next prime is 3556546561. The reversal of 3556546560 is 656456553.

3556546560 is a `hidden beast` number, since 3 + 5 + 56 + 546 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (3556546561) 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, 23869366 + ... + 23869514.

It is an arithmetic number, because the mean of its divisors is an integer number (25286625).

Almost surely, 2^3556546560 is an apocalyptic number.

3556546560 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 3556546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282548000).

3556546560 is an abundant number, since it is smaller than the sum of its proper divisors (11008549440).

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

3556546560 is a wasteful number, since it uses less digits than its factorization.

3556546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The square root of 3556546560 is about 59636.7886459357. The cubic root of 3556546560 is about 1526.4274456782.

The spelling of 3556546560 in words is "three billion, five hundred fifty-six million, five hundred forty-six thousand, five hundred sixty".