3438239805 has 288 divisors, whose sum is σ = 8393478912. Its totient is φ = 1313832960.

The previous prime is 3438239803. The next prime is 3438239821. The reversal of 3438239805 is 5089328343.

It is not a de Polignac number, because 3438239805 - 2¹ = 3438239803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438239803) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13378237 + ... + 13378493.

It is an arithmetic number, because the mean of its divisors is an integer number (29144024).

Almost surely, 2^3438239805 is an apocalyptic number.

3438239805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3438239805 is an abundant number, since it is smaller than the sum of its proper divisors (4955239107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3438239805 is a wasteful number, since it uses less digits than its factorization.

3438239805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3438239805 is about 58636.5057366143. The cubic root of 3438239805 is about 1509.3109446216.

The spelling of 3438239805 in words is "three billion, four hundred thirty-eight million, two hundred thirty-nine thousand, eight hundred five".