3442300224 has 224 divisors, whose sum is σ = 10568025600. Its totient is φ = 977909760.

The previous prime is 3442300219. The next prime is 3442300237. The reversal of 3442300224 is 4220032443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3442300194 and 3442300203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373559 + ... + 4374345.

Almost surely, 2^3442300224 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 3442300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284012800).

3442300224 is an abundant number, since it is smaller than the sum of its proper divisors (7125725376).

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

3442300224 is a wasteful number, since it uses less digits than its factorization.

3442300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3442300224 is about 58671.1191643725. The cubic root of 3442300224 is about 1509.9048554878.

Adding to 3442300224 its reverse (4220032443), we get a palindrome (7662332667).

The spelling of 3442300224 in words is "three billion, four hundred forty-two million, three hundred thousand, two hundred twenty-four".