9038407952 has 120 divisors (see below), whose sum is σ = 21837632064. Its totient is φ = 3546740736.

The previous prime is 9038407949. The next prime is 9038407967. The reversal of 9038407952 is 2597048309.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9038407897 and 9038407906.

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, 1193843 + ... + 1201389.

Almost surely, 2^9038407952 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 9038407952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918816032).

9038407952 is an abundant number, since it is smaller than the sum of its proper divisors (12799224112).

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

9038407952 is a wasteful number, since it uses less digits than its factorization.

9038407952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 9038407952 is about 95070.5419780491. The cubic root of 9038407952 is about 2083.0385779017.

The spelling of 9038407952 in words is "nine billion, thirty-eight million, four hundred seven thousand, nine hundred fifty-two".