3648412160 has 80 divisors (see below), whose sum is σ = 9262315656. Its totient is φ = 1373503488.

The previous prime is 3648412133. The next prime is 3648412169. The reversal of 3648412160 is 612148463.

It can be written as a sum of positive squares in 4 ways, for example, as 3286499584 + 361912576 = 57328^2 + 19024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3648412160² = 26621822578471731200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3648412160.

It is not an unprimeable number, because it can be changed into a prime (3648412169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 85436.

Almost surely, 2^3648412160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631157828).

3648412160 is an abundant number, since it is smaller than the sum of its proper divisors (5613903496).

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

3648412160 is an equidigital number, since it uses as much as digits as its factorization.

3648412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83873 (or 83857 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3648412160 is about 60402.0873811493. The cubic root of 3648412160 is about 1539.4584254088.

The spelling of 3648412160 in words is "three billion, six hundred forty-eight million, four hundred twelve thousand, one hundred sixty".