377844 has 36 divisors (see below), whose sum is σ = 945504. Its totient is φ = 117216.

The previous prime is 377843. The next prime is 377851. The reversal of 377844 is 448773.

377844 = 117² + 118² + ... + 139².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377843) 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, 10194 + ... + 10230.

It is an arithmetic number, because the mean of its divisors is an integer number (26264).

2³⁷⁷⁸⁴⁴ 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 377844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472752).

377844 is an abundant number, since it is smaller than the sum of its proper divisors (567660).

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

377844 is a wasteful number, since it uses less digits than its factorization.

377844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 377844 is about 614.6901658559. The cubic root of 377844 is about 72.2943199378.

It can be divided in two parts, 377 and 844, that added together give a palindrome (1221).

The spelling of 377844 in words is "three hundred seventy-seven thousand, eight hundred forty-four".