378341401 has 9 divisors (see below), whose sum is σ = 386668191. Its totient is φ = 370191432.

The previous prime is 378341393. The next prime is 378341413. The reversal of 378341401 is 104143873.

The square root of 378341401 is 19451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 272745225 + 105596176 = 16515^2 + 10276^2 .

It is not a de Polignac number, because 378341401 - 2³ = 378341393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378341461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1030720 + ... + 1031086.

Almost surely, 2^378341401 is an apocalyptic number.

378341401 is the 19451-st square number.

378341401 is the 9726-th centered octagonal number.

It is an amenable number.

378341401 is a deficient number, since it is larger than the sum of its proper divisors (8326790).

378341401 is an frugal number, since it uses more digits than its factorization.

378341401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The cubic root of 378341401 is about 723.2602923172.

It can be divided in two parts, 37 and 8341401, that added together give a palindrome (8341438).

The spelling of 378341401 in words is "three hundred seventy-eight million, three hundred forty-one thousand, four hundred one".