363686401 has 8 divisors (see below), whose sum is σ = 391849640. Its totient is φ = 335549952.

The previous prime is 363686399. The next prime is 363686489. The reversal of 363686401 is 104686363.

It can be written as a sum of positive squares in 4 ways, for example, as 18284176 + 345402225 = 4276^2 + 18585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 363686401 - 2¹ = 363686399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (363686101) 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 7 ways as a sum of consecutive naturals, for example, 28315 + ... + 39103.

It is an arithmetic number, because the mean of its divisors is an integer number (48981205).

Almost surely, 2^363686401 is an apocalyptic number.

It is an amenable number.

363686401 is a deficient number, since it is larger than the sum of its proper divisors (28163239).

363686401 is a wasteful number, since it uses less digits than its factorization.

363686401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13395.

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 363686401 is about 19070.5637305246. The cubic root of 363686401 is about 713.7985927169.

The spelling of 363686401 in words is "three hundred sixty-three million, six hundred eighty-six thousand, four hundred one".