3681623153 has 16 divisors (see below), whose sum is σ = 4008011280. Its totient is φ = 3361602816.

The previous prime is 3681623123. The next prime is 3681623177. The reversal of 3681623153 is 3513261863.

It can be written as a sum of positive squares in 8 ways, for example, as 197908624 + 3483714529 = 14068^2 + 59023^2 .

It is not a de Polignac number, because 3681623153 - 2¹⁸ = 3681361009 is a prime.

It is a super-2 number, since 2×3681623153² = 27108698081411322818, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3681623123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463451 + ... + 471327.

It is an arithmetic number, because the mean of its divisors is an integer number (250500705).

Almost surely, 2^3681623153 is an apocalyptic number.

It is an amenable number.

3681623153 is a deficient number, since it is larger than the sum of its proper divisors (326388127).

3681623153 is a wasteful number, since it uses less digits than its factorization.

3681623153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276.

The product of its digits is 77760, while the sum is 38.

The square root of 3681623153 is about 60676.3805199354. The cubic root of 3681623153 is about 1544.1154822984.

The spelling of 3681623153 in words is "three billion, six hundred eighty-one million, six hundred twenty-three thousand, one hundred fifty-three".