3413984448 has 336 divisors, whose sum is σ = 11258092800. Its totient is φ = 907683840.

The previous prime is 3413984443. The next prime is 3413984471. The reversal of 3413984448 is 8444893143.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3413984448² = 23310579622371729408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3413984397 and 3413984406.

It is not an unprimeable number, because it can be changed into a prime (3413984443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12691258 + ... + 12691526.

Almost surely, 2^3413984448 is an apocalyptic number.

3413984448 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 3413984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629046400).

3413984448 is an abundant number, since it is smaller than the sum of its proper divisors (7844108352).

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

3413984448 is a wasteful number, since it uses less digits than its factorization.

3413984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 3413984448 is about 58429.3115482289. The cubic root of 3413984448 is about 1505.7533779915.

The spelling of 3413984448 in words is "three billion, four hundred thirteen million, nine hundred eighty-four thousand, four hundred forty-eight".