377364 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 111360.

The previous prime is 377353. The next prime is 377369. The reversal of 377364 is 463773.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3² + 7⁵ + 3¹¹ + 7⁶ + 6³ + 4⁸ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377364.

It is not an unprimeable number, because it can be changed into a prime (377369) by changing a digit.

377364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6367 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2³⁷⁷³⁶⁴ 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 377364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

377364 is an abundant number, since it is smaller than the sum of its proper divisors (610476).

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

377364 is a wasteful number, since it uses less digits than its factorization.

377364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 377364 is about 614.2996011719. The cubic root of 377364 is about 72.2636935607.

It can be divided in two parts, 377 and 364, that added together give a triangular number (741 = T₃₈).

The spelling of 377364 in words is "three hundred seventy-seven thousand, three hundred sixty-four".