1038121344 has 192 divisors, whose sum is σ = 3253155360. Its totient is φ = 315850752.

The previous prime is 1038121333. The next prime is 1038121367. The reversal of 1038121344 is 4431218301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542192 + ... + 1542864.

Almost surely, 2^1038121344 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 1038121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626577680).

1038121344 is an abundant number, since it is smaller than the sum of its proper divisors (2215034016).

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

1038121344 is a wasteful number, since it uses less digits than its factorization.

1038121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1038121344 is about 32219.8905026072. The cubic root of 1038121344 is about 1012.5489790664.

Adding to 1038121344 its reverse (4431218301), we get a palindrome (5469339645).

The spelling of 1038121344 in words is "one billion, thirty-eight million, one hundred twenty-one thousand, three hundred forty-four".