13780332 has 36 divisors (see below), whose sum is σ = 34987680. Its totient is φ = 4573152.

The previous prime is 13780331. The next prime is 13780369. The reversal of 13780332 is 23308731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13780296 and 13780305.

It is not an unprimeable number, because it can be changed into a prime (13780331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8973 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (971880).

Almost surely, 2^13780332 is an apocalyptic number.

13780332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13780332 is an abundant number, since it is smaller than the sum of its proper divisors (21207348).

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

13780332 is a wasteful number, since it uses less digits than its factorization.

13780332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13780332 is about 3712.1869564988. The cubic root of 13780332 is about 239.7470251091.

The spelling of 13780332 in words is "thirteen million, seven hundred eighty thousand, three hundred thirty-two".