3557986560 has 576 divisors, whose sum is σ = 13515909120. Its totient is φ = 895795200.

The previous prime is 3557986543. The next prime is 3557986561. The reversal of 3557986560 is 656897553.

3557986560 is a `hidden beast` number, since 3 + 5 + 5 + 79 + 8 + 6 + 560 = 666.

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

It is a super-2 number, since 2×3557986560² = 25318536722281267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3557986497 and 3557986506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3557986561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86780140 + ... + 86780180.

It is an arithmetic number, because the mean of its divisors is an integer number (23465120).

Almost surely, 2^3557986560 is an apocalyptic number.

3557986560 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 3557986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757954560).

3557986560 is an abundant number, since it is smaller than the sum of its proper divisors (9957922560).

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

3557986560 is an frugal number, since it uses more digits than its factorization.

3557986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 3557986560 is about 59648.8605088144. The cubic root of 3557986560 is about 1526.6334281668.

The spelling of 3557986560 in words is "three billion, five hundred fifty-seven million, nine hundred eighty-six thousand, five hundred sixty".