10349712 has 60 divisors (see below), whose sum is σ = 29688204. Its totient is φ = 3363840.

The previous prime is 10349707. The next prime is 10349743. The reversal of 10349712 is 21794301.

10349712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 9960336 = 624^2 + 3156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5028 + ... + 6780.

Almost surely, 2^10349712 is an apocalyptic number.

10349712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844102).

10349712 is an abundant number, since it is smaller than the sum of its proper divisors (19338492).

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

10349712 is a wasteful number, since it uses less digits than its factorization.

10349712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10349712 is about 3217.0968278869. The cubic root of 10349712 is about 217.9261877314.

The spelling of 10349712 in words is "ten million, three hundred forty-nine thousand, seven hundred twelve".