3626431641 has 56 divisors (see below), whose sum is σ = 6341148800. Its totient is φ = 2072103768.

The previous prime is 3626431577. The next prime is 3626431649. The reversal of 3626431641 is 1461346263.

3626431641 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 4 + 3 + 1 + 641 = 666.

3626431641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3626431641 - 2⁶ = 3626431577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3626431596 and 3626431605.

It is not an unprimeable number, because it can be changed into a prime (3626431649) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 242796 + ... + 257298.

It is an arithmetic number, because the mean of its divisors is an integer number (113234800).

Almost surely, 2^3626431641 is an apocalyptic number.

It is an amenable number.

3626431641 is a deficient number, since it is larger than the sum of its proper divisors (2714717159).

3626431641 is an frugal number, since it uses more digits than its factorization.

3626431641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14542 (or 14513 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3626431641 is about 60219.8608517157. The cubic root of 3626431641 is about 1536.3606140303.

The spelling of 3626431641 in words is "three billion, six hundred twenty-six million, four hundred thirty-one thousand, six hundred forty-one".