3439392768 has 576 divisors, whose sum is σ = 12674188800. Its totient is φ = 875888640.

The previous prime is 3439392767. The next prime is 3439392773. The reversal of 3439392768 is 8672939343.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3439392768² = 23658845225141403648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439392767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56383458 + ... + 56383518.

It is an arithmetic number, because the mean of its divisors is an integer number (22003800).

Almost surely, 2^3439392768 is an apocalyptic number.

3439392768 is a gapful number since it is divisible by the number (38) 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 3439392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337094400).

3439392768 is an abundant number, since it is smaller than the sum of its proper divisors (9234796032).

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

3439392768 is a wasteful number, since it uses less digits than its factorization.

3439392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3439392768 is about 58646.3363561612. The cubic root of 3439392768 is about 1509.4796341542.

The spelling of 3439392768 in words is "three billion, four hundred thirty-nine million, three hundred ninety-two thousand, seven hundred sixty-eight".