377952 has 48 divisors (see below), whose sum is σ = 1032192. Its totient is φ = 120960.

The previous prime is 377911. The next prime is 377963. The reversal of 377952 is 259773.

It is a tau number, because it is divible by the number of its divisors (48).

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 377952.

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, 2913 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2³⁷⁷⁹⁵² is an apocalyptic number.

377952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516096).

377952 is an abundant number, since it is smaller than the sum of its proper divisors (654240).

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

377952 is a wasteful number, since it uses less digits than its factorization.

377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 13230, while the sum is 33.

The square root of 377952 is about 614.7780087153. The cubic root of 377952 is about 72.3012072976.

The spelling of 377952 in words is "three hundred seventy-seven thousand, nine hundred fifty-two".