377664 has 56 divisors (see below), whose sum is σ = 1146048. Its totient is φ = 107520.

The previous prime is 377653. The next prime is 377681. The reversal of 377664 is 466773.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable 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, 1204 + ... + 1484.

377664 is a Friedman number, since it can be written as 7*(6+74*3^6), using all its digits and the basic arithmetic operations.

2³⁷⁷⁶⁶⁴ 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 377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573024).

377664 is an abundant number, since it is smaller than the sum of its proper divisors (768384).

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

377664 is a wasteful number, since it uses less digits than its factorization.

377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 377664 is about 614.5437331875. The cubic root of 377664 is about 72.2828380876.

The spelling of 377664 in words is "three hundred seventy-seven thousand, six hundred sixty-four".