3648440880 has 400 divisors, whose sum is σ = 14585328384. Its totient is φ = 831409920.

The previous prime is 3648440843. The next prime is 3648440881. The reversal of 3648440880 is 880448463.

3648440880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3648440880² = 26622241709710348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3648440881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11022315 + ... + 11022645.

Almost surely, 2^3648440880 is an apocalyptic number.

3648440880 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 3648440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292664192).

3648440880 is an abundant number, since it is smaller than the sum of its proper divisors (10936887504).

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

3648440880 is an frugal number, since it uses more digits than its factorization.

3648440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3648440880 is about 60402.3251208097. The cubic root of 3648440880 is about 1539.4624648949.

The spelling of 3648440880 in words is "three billion, six hundred forty-eight million, four hundred forty thousand, eight hundred eighty".