374144 has 32 divisors (see below), whose sum is σ = 775200. Its totient is φ = 179712.

The previous prime is 374137. The next prime is 374149. The reversal of 374144 is 441473.

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

It is a super-3 number, since 3×374144³ = 157122221102333952, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4697 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (24225).

2³⁷⁴¹⁴⁴ 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 374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387600).

374144 is an abundant number, since it is smaller than the sum of its proper divisors (401056).

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

374144 is an equidigital number, since it uses as much as digits as its factorization.

374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 374144 is about 611.6731153157. The cubic root of 374144 is about 72.0575671290.

It can be divided in two parts, 3 and 74144, that added together give a palindrome (74147).

The spelling of 374144 in words is "three hundred seventy-four thousand, one hundred forty-four", and thus it is an iban number.