3397254044800 has 1152 divisors, whose sum is σ = 11500082697600. Its totient is φ = 977589043200.

The previous prime is 3397254044783. The next prime is 3397254044827. The reversal of 3397254044800 is 84404527933.

3397254044800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1150440124 + ... + 1150443076.

It is an arithmetic number, because the mean of its divisors is an integer number (9982710675).

Almost surely, 2^{3397254044800} 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 3397254044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750041348800).

3397254044800 is an abundant number, since it is smaller than the sum of its proper divisors (8102828652800).

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

3397254044800 is a wasteful number, since it uses less digits than its factorization.

3397254044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 3397254044800 in words is "three trillion, three hundred ninety-seven billion, two hundred fifty-four million, forty-four thousand, eight hundred".