27349344 has 144 divisors (see below), whose sum is σ = 86682960. Its totient is φ = 8110080.

The previous prime is 27349339. The next prime is 27349351. The reversal of 27349344 is 44394372.

27349344 = T₂₇₂ + T₂₇₃ + ... + T₅₆₈.

27349344 is a `hidden beast` number, since 273 + 49 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 27349299 and 27349308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281904 + ... + 282000.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^27349344 is an apocalyptic number.

27349344 is a gapful number since it is divisible by the number (24) 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 27349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

27349344 is an abundant number, since it is smaller than the sum of its proper divisors (59333616).

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

27349344 is a wasteful number, since it uses less digits than its factorization.

27349344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 27349344 is about 5229.6600271911. The cubic root of 27349344 is about 301.2883261328.

The spelling of 27349344 in words is "twenty-seven million, three hundred forty-nine thousand, three hundred forty-four".