3356481224448 has 864 divisors, whose sum is σ = 11212666343424. Its totient is φ = 992839680000.

The previous prime is 3356481224441. The next prime is 3356481224477. The reversal of 3356481224448 is 8444221846533.

It is a happy number.

3356481224448 is a `hidden beast` number, since 3 + 3 + 564 + 8 + 12 + 24 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3356481224448² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3356481224394 and 3356481224403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3356481224441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7972639278 + ... + 7972639698.

Almost surely, 2^{3356481224448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3356481224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606333171712).

3356481224448 is an abundant number, since it is smaller than the sum of its proper divisors (7856185118976).

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

3356481224448 is a wasteful number, since it uses less digits than its factorization.

3356481224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 3356481224448 in words is "three trillion, three hundred fifty-six billion, four hundred eighty-one million, two hundred twenty-four thousand, four hundred forty-eight".