9038870400 has 192 divisors, whose sum is σ = 34025143680. Its totient is φ = 2066012160.

The previous prime is 9038870389. The next prime is 9038870413. The reversal of 9038870400 is 40788309.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54 + ... + 134453.

It is an arithmetic number, because the mean of its divisors is an integer number (177214290).

Almost surely, 2^9038870400 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 9038870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012571840).

9038870400 is an abundant number, since it is smaller than the sum of its proper divisors (24986273280).

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

9038870400 is a wasteful number, since it uses less digits than its factorization.

9038870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134541 (or 134524 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 9038870400 is about 95072.9740778104. The cubic root of 9038870400 is about 2083.0741033541.

The spelling of 9038870400 in words is "nine billion, thirty-eight million, eight hundred seventy thousand, four hundred".