378609105 has 64 divisors (see below), whose sum is σ = 736358400. Its totient is φ = 162259200.

The previous prime is 378609073. The next prime is 378609113. The reversal of 378609105 is 501906873.

It is not a de Polignac number, because 378609105 - 2⁵ = 378609073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200556 + ... + 202434.

It is an arithmetic number, because the mean of its divisors is an integer number (11505600).

Almost surely, 2^378609105 is an apocalyptic number.

378609105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

378609105 is a deficient number, since it is larger than the sum of its proper divisors (357749295).

378609105 is a wasteful number, since it uses less digits than its factorization.

378609105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 378609105 is about 19457.8802802361. The cubic root of 378609105 is about 723.4308384819.

The spelling of 378609105 in words is "three hundred seventy-eight million, six hundred nine thousand, one hundred five".