3640838131 has 24 divisors (see below), whose sum is σ = 4327029600. Its totient is φ = 3053635200.

The previous prime is 3640838119. The next prime is 3640838143. The reversal of 3640838131 is 1318380463.

It is an interprime number because it is at equal distance from previous prime (3640838119) and next prime (3640838143).

It is not a de Polignac number, because 3640838131 - 2⁹ = 3640837619 is a prime.

It is a super-2 number, since 2×3640838131² = 26511404592287146322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3640832131) 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 23 ways as a sum of consecutive naturals, for example, 591751 + ... + 597871.

It is an arithmetic number, because the mean of its divisors is an integer number (180292900).

Almost surely, 2^3640838131 is an apocalyptic number.

3640838131 is a deficient number, since it is larger than the sum of its proper divisors (686191469).

3640838131 is a wasteful number, since it uses less digits than its factorization.

3640838131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 3640838131 is about 60339.3580592303. The cubic root of 3640838131 is about 1538.3923926492.

The spelling of 3640838131 in words is "three billion, six hundred forty million, eight hundred thirty-eight thousand, one hundred thirty-one".