10438376 has 32 divisors (see below), whose sum is σ = 21810600. Its totient is φ = 4650240.

The previous prime is 10438367. The next prime is 10438387. The reversal of 10438376 is 67383401.

It can be written as a sum of positive squares in 4 ways, for example, as 5712100 + 4726276 = 2390^2 + 2174^2 .

10438376 is a modest number, since divided by 38376 gives 104 as remainder.

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 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 4746.

Almost surely, 2^10438376 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 10438376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905300).

10438376 is an abundant number, since it is smaller than the sum of its proper divisors (11372224).

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

10438376 is a wasteful number, since it uses less digits than its factorization.

10438376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 10438376 is about 3230.8475668159. The cubic root of 10438376 is about 218.5467297031.

The spelling of 10438376 in words is "ten million, four hundred thirty-eight thousand, three hundred seventy-six".