9038372401 has 6 divisors (see below), whose sum is σ = 9253457250. Its totient is φ = 8828175888.

The previous prime is 9038372389. The next prime is 9038372423. The reversal of 9038372401 is 1042738309.

9038372401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6901621776 + 2136750625 = 83076^2 + 46225^2 .

It is not a de Polignac number, because 9038372401 - 2⁹ = 9038371889 is a prime.

It is a super-3 number, since 3×9038372401³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9038372471) 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 5 ways as a sum of consecutive naturals, for example, 2442276 + ... + 2445973.

It is an arithmetic number, because the mean of its divisors is an integer number (1542242875).

Almost surely, 2^9038372401 is an apocalyptic number.

It is an amenable number.

9038372401 is a deficient number, since it is larger than the sum of its proper divisors (215084849).

9038372401 is an equidigital number, since it uses as much as digits as its factorization.

9038372401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888335 (or 4888292 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 9038372401 is about 95070.3550061742. The cubic root of 9038372401 is about 2083.0358468086.

The spelling of 9038372401 in words is "nine billion, thirty-eight million, three hundred seventy-two thousand, four hundred one".