1034400224 has 96 divisors (see below), whose sum is σ = 2533428576. Its totient is φ = 408453120.

The previous prime is 1034400221. The next prime is 1034400271. The reversal of 1034400224 is 4220044301.

It is a super-2 number, since 2×1034400224² = 2139967646822500352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034400196 and 1034400205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034400221) 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 15 ways as a sum of consecutive naturals, for example, 71144 + ... + 84440.

It is an arithmetic number, because the mean of its divisors is an integer number (26389881).

Almost surely, 2^1034400224 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 1034400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266714288).

1034400224 is an abundant number, since it is smaller than the sum of its proper divisors (1499028352).

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

1034400224 is a wasteful number, since it uses less digits than its factorization.

1034400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1034400224 is about 32162.0929667209. The cubic root of 1034400224 is about 1011.3377118267.

Adding to 1034400224 its reverse (4220044301), we get a palindrome (5254444525).

The spelling of 1034400224 in words is "one billion, thirty-four million, four hundred thousand, two hundred twenty-four".