3448662006720 has 336 divisors, whose sum is σ = 12916584995328. Its totient is φ = 777162516480.

The previous prime is 3448662006707. The next prime is 3448662006737. The reversal of 3448662006720 is 276002668443.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3448662006720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823549 + ... + 3856131.

It is an arithmetic number, because the mean of its divisors is an integer number (38442217248).

Almost surely, 2^{3448662006720} is an apocalyptic number.

3448662006720 is a gapful number since it is divisible by the number (30) 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 3448662006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458292497664).

3448662006720 is an abundant number, since it is smaller than the sum of its proper divisors (9467922988608).

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

3448662006720 is a wasteful number, since it uses less digits than its factorization.

3448662006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032688 (or 1032671 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 3448662006720 in words is "three trillion, four hundred forty-eight billion, six hundred sixty-two million, six thousand, seven hundred twenty".