3413224000 has 112 divisors (see below), whose sum is σ = 8726155776. Its totient is φ = 1321152000.

The previous prime is 3413223949. The next prime is 3413224013. The reversal of 3413224000 is 4223143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241119 + ... + 254881.

Almost surely, 2^3413224000 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 3413224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363077888).

3413224000 is an abundant number, since it is smaller than the sum of its proper divisors (5312931776).

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

3413224000 is a wasteful number, since it uses less digits than its factorization.

3413224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3413224000 is about 58422.8037670223. The cubic root of 3413224000 is about 1505.6415700058.

Adding to 3413224000 its reverse (4223143), we get a palindrome (3417447143).

The spelling of 3413224000 in words is "three billion, four hundred thirteen million, two hundred twenty-four thousand".