377936 has 40 divisors (see below), whose sum is σ = 833280. Its totient is φ = 164736.

The previous prime is 377911. The next prime is 377963. The reversal of 377936 is 639773.

It is a junction number, because it is equal to n+sod(n) for n = 377896 and 377905.

It is a congruent number.

It is an unprimeable number.

377936 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 7 ways as a sum of consecutive naturals, for example, 4745 + ... + 4823.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³⁷⁷⁹³⁶ 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 377936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

377936 is an abundant number, since it is smaller than the sum of its proper divisors (455344).

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

377936 is a wasteful number, since it uses less digits than its factorization.

377936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 23814, while the sum is 35.

The square root of 377936 is about 614.7649957504. The cubic root of 377936 is about 72.3001870308.

The spelling of 377936 in words is "three hundred seventy-seven thousand, nine hundred thirty-six".