3424499200 has 120 divisors (see below), whose sum is σ = 8931649320. Its totient is φ = 1297612800.

The previous prime is 3424499179. The next prime is 3424499209. The reversal of 3424499200 is 29944243.

It is a self number, because there is not a number n which added to its sum of digits gives 3424499200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424499209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236160 + ... + 250240.

It is an arithmetic number, because the mean of its divisors is an integer number (74430411).

Almost surely, 2^3424499200 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 3424499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465824660).

3424499200 is an abundant number, since it is smaller than the sum of its proper divisors (5507150120).

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

3424499200 is a wasteful number, since it uses less digits than its factorization.

3424499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14128 (or 14107 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3424499200 is about 58519.2207740329. The cubic root of 3424499200 is about 1507.2976534081.

It can be divided in two parts, 342449 and 9200, that added together give a square (351649 = 593²).

The spelling of 3424499200 in words is "three billion, four hundred twenty-four million, four hundred ninety-nine thousand, two hundred".