377940 has 24 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 100768.

The previous prime is 377911. The next prime is 377963. The reversal of 377940 is 49773.

377940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 377898 and 377907.

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 377940.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3090 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2³⁷⁷⁹⁴⁰ is an apocalyptic number.

377940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

377940 is an abundant number, since it is smaller than the sum of its proper divisors (680460).

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

377940 is a wasteful number, since it uses less digits than its factorization.

377940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 377940 is about 614.7682490175. The cubic root of 377940 is about 72.3004421002.

The spelling of 377940 in words is "three hundred seventy-seven thousand, nine hundred forty".