3448164720000 has 2560 divisors, whose sum is σ = 15897119293440. Its totient is φ = 638668800000.

The previous prime is 3448164719981. The next prime is 3448164720043. The reversal of 3448164720000 is 274618443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7447439769 + ... + 7447440231.

It is an arithmetic number, because the mean of its divisors is an integer number (6209812224).

Almost surely, 2^{3448164720000} is an apocalyptic number.

3448164720000 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 3448164720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948559646720).

3448164720000 is an abundant number, since it is smaller than the sum of its proper divisors (12448954573440).

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

3448164720000 is a wasteful number, since it uses less digits than its factorization.

3448164720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 3448164720000 in words is "three trillion, four hundred forty-eight billion, one hundred sixty-four million, seven hundred twenty thousand".