13738410 has 80 divisors (see below), whose sum is σ = 42235776. Its totient is φ = 3138912.

The previous prime is 13738399. The next prime is 13738411. The reversal of 13738410 is 1483731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13738411) 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 39 ways as a sum of consecutive naturals, for example, 4459 + ... + 6881.

Almost surely, 2^13738410 is an apocalyptic number.

13738410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13738410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117888).

13738410 is an abundant number, since it is smaller than the sum of its proper divisors (28497366).

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

13738410 is a wasteful number, since it uses less digits than its factorization.

13738410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13738410 is about 3706.5361188042. The cubic root of 13738410 is about 239.5036617423.

The spelling of 13738410 in words is "thirteen million, seven hundred thirty-eight thousand, four hundred ten".