3373126848 has 448 divisors, whose sum is σ = 12858496000. Its totient is φ = 842047488.

The previous prime is 3373126843. The next prime is 3373126849. The reversal of 3373126848 is 8486213733.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×3373126848³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3373126843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2987148 + ... + 2988276.

It is an arithmetic number, because the mean of its divisors is an integer number (28702000).

Almost surely, 2^3373126848 is an apocalyptic number.

3373126848 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 3373126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429248000).

3373126848 is an abundant number, since it is smaller than the sum of its proper divisors (9485369152).

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

3373126848 is a wasteful number, since it uses less digits than its factorization.

3373126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3373126848 is about 58078.6264300388. The cubic root of 3373126848 is about 1499.7224446452.

The spelling of 3373126848 in words is "three billion, three hundred seventy-three million, one hundred twenty-six thousand, eight hundred forty-eight".