3345473977200 has 960 divisors, whose sum is σ = 12631698900480. Its totient is φ = 839837859840.

The previous prime is 3345473977171. The next prime is 3345473977217. The reversal of 3345473977200 is 27793745433.

3345473977200 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 47 + 397 + 7 + 200 = 666.

It is a super-2 number, since 2×3345473977200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1941655539 + ... + 1941657261.

It is an arithmetic number, because the mean of its divisors is an integer number (13158019688).

Almost surely, 2^{3345473977200} is an apocalyptic number.

3345473977200 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 3345473977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315849450240).

3345473977200 is an abundant number, since it is smaller than the sum of its proper divisors (9286224923280).

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

3345473977200 is a wasteful number, since it uses less digits than its factorization.

3345473977200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 3345473977200 in words is "three trillion, three hundred forty-five billion, four hundred seventy-three million, nine hundred seventy-seven thousand, two hundred".