13478346 has 64 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3810240.

The previous prime is 13478341. The next prime is 13478363. The reversal of 13478346 is 64387431.

It is a self number, because there is not a number n which added to its sum of digits gives 13478346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68320 + ... + 68516.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^13478346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13478346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13478346 is an abundant number, since it is smaller than the sum of its proper divisors (21116214).

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

13478346 is a wasteful number, since it uses less digits than its factorization.

13478346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13478346 is about 3671.2866954244. The cubic root of 13478346 is about 237.9827801020.

It can be divided in two parts, 13478 and 346, that added together give a cube (13824 = 24³).

The spelling of 13478346 in words is "thirteen million, four hundred seventy-eight thousand, three hundred forty-six".