378385 has 16 divisors (see below), whose sum is σ = 547200. Its totient is φ = 245376.

The previous prime is 378379. The next prime is 378401. The reversal of 378385 is 583873.

378385 = T₁₉₀ + T₁₉₁ + ... + T₂₀₈.

378385 = 190² + 191² + ... + 199².

It is a cyclic number.

It is not a de Polignac number, because 378385 - 2⁵ = 378353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 378385.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2³⁷⁸³⁸⁵ is an apocalyptic number.

378385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

378385 is a deficient number, since it is larger than the sum of its proper divisors (168815).

378385 is a wasteful number, since it uses less digits than its factorization.

378385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its digits is 20160, while the sum is 34.

The square root of 378385 is about 615.1300675467. The cubic root of 378385 is about 72.3288073411.

It can be divided in two parts, 378 and 385, that multiplied together give a triangular number (145530 = T₅₃₉).

The spelling of 378385 in words is "three hundred seventy-eight thousand, three hundred eighty-five".