1338904224 has 216 divisors, whose sum is σ = 4690521108. Its totient is φ = 359976960.

The previous prime is 1338904223. The next prime is 1338904243. The reversal of 1338904224 is 4224098331.

It can be written as a sum of positive squares in 2 ways, for example, as 1335171600 + 3732624 = 36540^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1338904223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237114 + ... + 242694.

Almost surely, 2^1338904224 is an apocalyptic number.

1338904224 is a gapful number since it is divisible by the number (14) 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 1338904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345260554).

1338904224 is an abundant number, since it is smaller than the sum of its proper divisors (3351616884).

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

1338904224 is a wasteful number, since it uses less digits than its factorization.

1338904224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1338904224 is about 36591.0402147848. The cubic root of 1338904224 is about 1102.1731759909.

The spelling of 1338904224 in words is "one billion, three hundred thirty-eight million, nine hundred four thousand, two hundred twenty-four".