3449367768 has 256 divisors, whose sum is σ = 11685888000. Its totient is φ = 821145600.

The previous prime is 3449367763. The next prime is 3449367773. The reversal of 3449367768 is 8677639443.

It is a happy number.

3449367768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3449367763) and next prime (3449367773).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449367763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086888 + ... + 1090056.

It is an arithmetic number, because the mean of its divisors is an integer number (45648000).

Almost surely, 2^3449367768 is an apocalyptic number.

3449367768 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 3449367768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842944000).

3449367768 is an abundant number, since it is smaller than the sum of its proper divisors (8236520232).

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

3449367768 is a wasteful number, since it uses less digits than its factorization.

3449367768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3242 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 57.

The square root of 3449367768 is about 58731.3184595749. The cubic root of 3449367768 is about 1510.9375006542.

The spelling of 3449367768 in words is "three billion, four hundred forty-nine million, three hundred sixty-seven thousand, seven hundred sixty-eight".