3582161280 has 128 divisors (see below), whose sum is σ = 12686882400. Its totient is φ = 955238400.

The previous prime is 3582161269. The next prime is 3582161281. The reversal of 3582161280 is 821612853.

It is a happy number.

3582161280 is a `hidden beast` number, since 35 + 8 + 2 + 1 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3582161281) 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 15 ways as a sum of consecutive naturals, for example, 86371 + ... + 120930.

Almost surely, 2^3582161280 is an apocalyptic number.

3582161280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3582161280 is an abundant number, since it is smaller than the sum of its proper divisors (9104721120).

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

3582161280 is a wasteful number, since it uses less digits than its factorization.

3582161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207329 (or 207311 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3582161280 is about 59851.1593872667. The cubic root of 3582161280 is about 1530.0831942459.

The spelling of 3582161280 in words is "three billion, five hundred eighty-two million, one hundred sixty-one thousand, two hundred eighty".