10738304 has 32 divisors (see below), whose sum is σ = 21901440. Its totient is φ = 5241600.

The previous prime is 10738303. The next prime is 10738313. The reversal of 10738304 is 40383701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×10738304³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10738303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4529 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (684420).

Almost surely, 2^10738304 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 10738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950720).

10738304 is an abundant number, since it is smaller than the sum of its proper divisors (11163136).

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

10738304 is an equidigital number, since it uses as much as digits as its factorization.

10738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10738304 is about 3276.9351534628. The cubic root of 10738304 is about 220.6201784532.

The spelling of 10738304 in words is "ten million, seven hundred thirty-eight thousand, three hundred four".