377964 has 18 divisors (see below), whose sum is σ = 955500. Its totient is φ = 125976.

The previous prime is 377963. The next prime is 377981. The reversal of 377964 is 469773.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10499 = 377964 / (3 + 7 + 7 + 9 + 6 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377964.

It is not an unprimeable number, because it can be changed into a prime (377963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5214 + ... + 5285.

2³⁷⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

377964 is an abundant number, since it is smaller than the sum of its proper divisors (577536).

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

377964 is a wasteful number, since it uses less digits than its factorization.

377964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509 (or 10504 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 377964 is about 614.7877682583. The cubic root of 377964 is about 72.3019724788.

Subtracting 377964 from its reverse (469773), we obtain a square (91809 = 303²).

It can be divided in two parts, 37 and 7964, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 377964 in words is "three hundred seventy-seven thousand, nine hundred sixty-four".