3438841896 has 96 divisors (see below), whose sum is σ = 10655523840. Its totient is φ = 981465984.

The previous prime is 3438841891. The next prime is 3438841937. The reversal of 3438841896 is 6981488343.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3438841891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544710 + ... + 550986.

It is an arithmetic number, because the mean of its divisors is an integer number (110995040).

Almost surely, 2^3438841896 is an apocalyptic number.

3438841896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438841896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327761920).

3438841896 is an abundant number, since it is smaller than the sum of its proper divisors (7216681944).

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

3438841896 is a wasteful number, since it uses less digits than its factorization.

3438841896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7376 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3438841896 is about 58641.6396087285. The cubic root of 3438841896 is about 1509.3990410069.

The spelling of 3438841896 in words is "three billion, four hundred thirty-eight million, eight hundred forty-one thousand, eight hundred ninety-six".