3313664448 has 112 divisors (see below), whose sum is σ = 9380768640. Its totient is φ = 1029196800.

The previous prime is 3313664437. The next prime is 3313664449. The reversal of 3313664448 is 8444663133.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313664449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215083 + ... + 229973.

Almost surely, 2^3313664448 is an apocalyptic number.

3313664448 is a gapful number since it is divisible by the number (38) 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 3313664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690384320).

3313664448 is an abundant number, since it is smaller than the sum of its proper divisors (6067104192).

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

3313664448 is a wasteful number, since it uses less digits than its factorization.

3313664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 14976 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 3313664448 is about 57564.4373550198. The cubic root of 3313664448 is about 1490.8576429672.

The spelling of 3313664448 in words is "three billion, three hundred thirteen million, six hundred sixty-four thousand, four hundred forty-eight".