378184401 has 36 divisors (see below), whose sum is σ = 639254772. Its totient is φ = 214812864.

The previous prime is 378184361. The next prime is 378184421. The reversal of 378184401 is 104481873.

378184401 is a `hidden beast` number, since 3 + 78 + 184 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 333026001 + 45158400 = 18249^2 + 6720^2 .

It is not a de Polignac number, because 378184401 - 2⁹ = 378183889 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378184421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73815 + ... + 78771.

It is an arithmetic number, because the mean of its divisors is an integer number (17757077).

Almost surely, 2^378184401 is an apocalyptic number.

It is an amenable number.

378184401 is a deficient number, since it is larger than the sum of its proper divisors (261070371).

378184401 is a wasteful number, since it uses less digits than its factorization.

378184401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 378184401 is about 19446.9637990099. The cubic root of 378184401 is about 723.1602349122.

The spelling of 378184401 in words is "three hundred seventy-eight million, one hundred eighty-four thousand, four hundred one".