3400638813 has 36 divisors (see below), whose sum is σ = 5814523260. Its totient is φ = 1902447360.

The previous prime is 3400638767. The next prime is 3400638817. The reversal of 3400638813 is 3188360043.

It is a happy number.

3400638813 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 638 + 8 + 13 = 666.

3400638813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156425049 + 3244213764 = 12507^2 + 56958^2 .

It is not a de Polignac number, because 3400638813 - 2⁸ = 3400638557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400638817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105948 + ... + 134261.

It is an arithmetic number, because the mean of its divisors is an integer number (161514535).

Almost surely, 2^3400638813 is an apocalyptic number.

3400638813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3400638813 is a deficient number, since it is larger than the sum of its proper divisors (2413884447).

3400638813 is a wasteful number, since it uses less digits than its factorization.

3400638813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240250 (or 240236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3400638813 is about 58314.9964674611. The cubic root of 3400638813 is about 1503.7887647836.

Adding to 3400638813 its reverse (3188360043), we get a palindrome (6588998856).

The spelling of 3400638813 in words is "three billion, four hundred million, six hundred thirty-eight thousand, eight hundred thirteen".