13349376 has 60 divisors (see below), whose sum is σ = 38540502. Its totient is φ = 4448256.

The previous prime is 13349359. The next prime is 13349389. The reversal of 13349376 is 67394331.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 389376 = 3600^2 + 624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13349376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3160 + ... + 6056.

Almost surely, 2^13349376 is an apocalyptic number.

13349376 is a gapful number since it is divisible by the number (16) 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 13349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270251).

13349376 is an abundant number, since it is smaller than the sum of its proper divisors (25191126).

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

13349376 is an equidigital number, since it uses as much as digits as its factorization.

13349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2902 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13349376 is about 3653.6797889251. The cubic root of 13349376 is about 237.2212856048.

The spelling of 13349376 in words is "thirteen million, three hundred forty-nine thousand, three hundred seventy-six".