3374881171200 has 2592 divisors, whose sum is σ = 16392925785600. Its totient is φ = 640991232000.

The previous prime is 3374881171169. The next prime is 3374881171223. The reversal of 3374881171200 is 21711884733.

3374881171200 is a `hidden beast` number, since 3 + 37 + 488 + 1 + 17 + 120 + 0 = 666.

It is a super-2 number, since 2×3374881171200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2443794510 + ... + 2443795890.

Almost surely, 2^{3374881171200} is an apocalyptic number.

3374881171200 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 3374881171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196462892800).

3374881171200 is an abundant number, since it is smaller than the sum of its proper divisors (13018044614400).

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

3374881171200 is a wasteful number, since it uses less digits than its factorization.

3374881171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 3374881171200 in words is "three trillion, three hundred seventy-four billion, eight hundred eighty-one million, one hundred seventy-one thousand, two hundred".