3648458880 has 384 divisors, whose sum is σ = 13919817600. Its totient is φ = 873185280.

The previous prime is 3648458873. The next prime is 3648458899. The reversal of 3648458880 is 888548463.

3648458880 is a `hidden beast` number, since 3 + 6 + 484 + 5 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3648458880² = 26622504398101708800, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5638717 + ... + 5639363.

It is an arithmetic number, because the mean of its divisors is an integer number (36249525).

Almost surely, 2^3648458880 is an apocalyptic number.

3648458880 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 3648458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959908800).

3648458880 is an abundant number, since it is smaller than the sum of its proper divisors (10271358720).

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

3648458880 is a wasteful number, since it uses less digits than its factorization.

3648458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 3648458880 is about 60402.4741215126. The cubic root of 3648458880 is about 1539.4649965954.

The spelling of 3648458880 in words is "three billion, six hundred forty-eight million, four hundred fifty-eight thousand, eight hundred eighty".