13780352 has 32 divisors (see below), whose sum is σ = 27642000. Its totient is φ = 6842880.

The previous prime is 13780331. The next prime is 13780369. The reversal of 13780352 is 25308731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25202 + ... + 25742.

Almost surely, 2^13780352 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 13780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821000).

13780352 is an abundant number, since it is smaller than the sum of its proper divisors (13861648).

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

13780352 is an equidigital number, since it uses as much as digits as its factorization.

13780352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 13780352 is about 3712.1896503277. The cubic root of 13780352 is about 239.7471410942.

The spelling of 13780352 in words is "thirteen million, seven hundred eighty thousand, three hundred fifty-two".