3648452160 has 112 divisors (see below), whose sum is σ = 11802563136. Its totient is φ = 954550272.

The previous prime is 3648452147. The next prime is 3648452167. The reversal of 3648452160 is 612548463.

It is a super-2 number, since 2×3648452160² = 26622406327617331200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3648452167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15027 + ... + 86733.

It is an arithmetic number, because the mean of its divisors is an integer number (105380028).

Almost surely, 2^3648452160 is an apocalyptic number.

3648452160 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 3648452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901281568).

3648452160 is an abundant number, since it is smaller than the sum of its proper divisors (8154110976).

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

3648452160 is a wasteful number, since it uses less digits than its factorization.

3648452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71780 (or 71770 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3648452160 is about 60402.4184946265. The cubic root of 3648452160 is about 1539.4640514282.

The spelling of 3648452160 in words is "three billion, six hundred forty-eight million, four hundred fifty-two thousand, one hundred sixty".