3449298427200 has 1680 divisors, whose sum is σ = 13552826563584. Its totient is φ = 859167129600.

The previous prime is 3449298427181. The next prime is 3449298427207. The reversal of 3449298427200 is 27248929443.

3449298427200 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 2 + 9 + 8 + 427 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449298427207) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 20654481517 + ... + 20654481683.

Almost surely, 2^{3449298427200} is an apocalyptic number.

3449298427200 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 3449298427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776413281792).

3449298427200 is an abundant number, since it is smaller than the sum of its proper divisors (10103528136384).

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

3449298427200 is a wasteful number, since it uses less digits than its factorization.

3449298427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3449298427200 in words is "three trillion, four hundred forty-nine billion, two hundred ninety-eight million, four hundred twenty-seven thousand, two hundred".