3439896768 has 448 divisors, whose sum is σ = 12781117440. Its totient is φ = 881280000.

The previous prime is 3439896749. The next prime is 3439896869. The reversal of 3439896768 is 8676989343.

3439896768 is a `hidden beast` number, since 3 + 439 + 89 + 67 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13704643 + ... + 13704893.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^3439896768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3439896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3439896768 is an abundant number, since it is smaller than the sum of its proper divisors (9341220672).

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

3439896768 is a wasteful number, since it uses less digits than its factorization.

3439896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 3439896768 is about 58650.6331423626. The cubic root of 3439896768 is about 1509.5533623410.

The spelling of 3439896768 in words is "three billion, four hundred thirty-nine million, eight hundred ninety-six thousand, seven hundred sixty-eight".