3464543816448 has 576 divisors, whose sum is σ = 11452260556800. Its totient is φ = 914124718080.

The previous prime is 3464543816407. The next prime is 3464543816449. The reversal of 3464543816448 is 8446183454643.

It is a junction number, because it is equal to n+sod(n) for n = 3464543816391 and 3464543816400.

It is not an unprimeable number, because it can be changed into a prime (3464543816449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498707311 + ... + 498714257.

It is an arithmetic number, because the mean of its divisors is an integer number (19882396800).

Almost surely, 2^{3464543816448} is an apocalyptic number.

3464543816448 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 3464543816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726130278400).

3464543816448 is an abundant number, since it is smaller than the sum of its proper divisors (7987716740352).

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

3464543816448 is a wasteful number, since it uses less digits than its factorization.

3464543816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 7234 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 60.

The spelling of 3464543816448 in words is "three trillion, four hundred sixty-four billion, five hundred forty-three million, eight hundred sixteen thousand, four hundred forty-eight".