3605575680 has 768 divisors, whose sum is σ = 15473203200. Its totient is φ = 788299776.

The previous prime is 3605575607. The next prime is 3605575681. The reversal of 3605575680 is 865755063.

3605575680 is a `hidden beast` number, since 36 + 0 + 5 + 57 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (3605575681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156764149 + ... + 156764171.

It is an arithmetic number, because the mean of its divisors is an integer number (20147400).

Almost surely, 2^3605575680 is an apocalyptic number.

3605575680 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 3605575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736601600).

3605575680 is an abundant number, since it is smaller than the sum of its proper divisors (11867627520).

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

3605575680 is an frugal number, since it uses more digits than its factorization.

3605575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 3605575680 is about 60046.4460230579. The cubic root of 3605575680 is about 1533.4096966800.

The spelling of 3605575680 in words is "three billion, six hundred five million, five hundred seventy-five thousand, six hundred eighty".