377604 has 36 divisors (see below), whose sum is σ = 1012284. Its totient is φ = 118272.

The previous prime is 377599. The next prime is 377617. The reversal of 377604 is 406773.

377604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 248004 = 360^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

377604 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 11 ways as a sum of consecutive naturals, for example, 304 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (28119).

2³⁷⁷⁶⁰⁴ is an apocalyptic number.

377604 is a gapful number since it is divisible by the number (34) 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 377604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506142).

377604 is an abundant number, since it is smaller than the sum of its proper divisors (634680).

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

377604 is a wasteful number, since it uses less digits than its factorization.

377604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 377604 is about 614.4949145436. The cubic root of 377604 is about 72.2790099935.

The spelling of 377604 in words is "three hundred seventy-seven thousand, six hundred four".