3809680413 has 32 divisors (see below), whose sum is σ = 6336755712. Its totient is φ = 1977873600.

The previous prime is 3809680403. The next prime is 3809680423. The reversal of 3809680413 is 3140869083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3809680403) and next prime (3809680423).

It is not a de Polignac number, because 3809680413 - 2⁶ = 3809680349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3809680403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490720 + ... + 498422.

It is an arithmetic number, because the mean of its divisors is an integer number (198023616).

Almost surely, 2^3809680413 is an apocalyptic number.

3809680413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3809680413 is a deficient number, since it is larger than the sum of its proper divisors (2527075299).

3809680413 is a wasteful number, since it uses less digits than its factorization.

3809680413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3809680413 is about 61722.6086049512. The cubic root of 3809680413 is about 1561.8147318931.

The spelling of 3809680413 in words is "three billion, eight hundred nine million, six hundred eighty thousand, four hundred thirteen".