3668048384 has 320 divisors, whose sum is σ = 10443831552. Its totient is φ = 1238630400.

The previous prime is 3668048353. The next prime is 3668048389. The reversal of 3668048384 is 4838408663.

It is a super-2 number, since 2×3668048384² = 26909157894730022912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3668048389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8712494 + ... + 8712914.

Almost surely, 2^3668048384 is an apocalyptic number.

3668048384 is a gapful number since it is divisible by the number (34) 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 3668048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221915776).

3668048384 is an abundant number, since it is smaller than the sum of its proper divisors (6775783168).

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

3668048384 is a wasteful number, since it uses less digits than its factorization.

3668048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The square root of 3668048384 is about 60564.4151627009. The cubic root of 3668048384 is about 1542.2153397725.

The spelling of 3668048384 in words is "three billion, six hundred sixty-eight million, forty-eight thousand, three hundred eighty-four".