3472824499200 has 2112 divisors, whose sum is σ = 15772262732800. Its totient is φ = 730968883200.

The previous prime is 3472824499153. The next prime is 3472824499223. The reversal of 3472824499200 is 29944282743.

3472824499200 is a `hidden beast` number, since 3 + 4 + 72 + 82 + 4 + 499 + 2 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3401394690 + ... + 3401395710.

Almost surely, 2^{3472824499200} is an apocalyptic number.

3472824499200 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 3472824499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886131366400).

3472824499200 is an abundant number, since it is smaller than the sum of its proper divisors (12299438233600).

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

3472824499200 is a wasteful number, since it uses less digits than its factorization.

3472824499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1094 counting only the distinct ones).

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

The spelling of 3472824499200 in words is "three trillion, four hundred seventy-two billion, eight hundred twenty-four million, four hundred ninety-nine thousand, two hundred".