377838 has 16 divisors (see below), whose sum is σ = 839760. Its totient is φ = 125928.

The previous prime is 377831. The next prime is 377843. The reversal of 377838 is 838773.

It is a super-3 number, since 3×377838³ = 161822220397333416, which contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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 377838.

It is not an unprimeable number, because it can be changed into a prime (377831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3445 + ... + 3552.

It is an arithmetic number, because the mean of its divisors is an integer number (52485).

2³⁷⁷⁸³⁸ is an apocalyptic number.

377838 is an abundant number, since it is smaller than the sum of its proper divisors (461922).

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

377838 is a wasteful number, since it uses less digits than its factorization.

377838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 7002 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 377838 is about 614.6852853290. The cubic root of 377838 is about 72.2939372682.

It can be divided in two parts, 37 and 7838, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 377838 in words is "three hundred seventy-seven thousand, eight hundred thirty-eight".