3438234768 has 160 divisors (see below), whose sum is σ = 9717878016. Its totient is φ = 1043103744.

The previous prime is 3438234763. The next prime is 3438234773. The reversal of 3438234768 is 8674328343.

3438234768 is digitally balanced in base 2, because in such base 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 (3438234763) and next prime (3438234773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3438234763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7940280 + ... + 7940712.

Almost surely, 2^3438234768 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 3438234768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858939008).

3438234768 is an abundant number, since it is smaller than the sum of its proper divisors (6279643248).

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

3438234768 is a wasteful number, since it uses less digits than its factorization.

3438234768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 3438234768 is about 58636.4627855399. The cubic root of 3438234768 is about 1509.3102075775.

The spelling of 3438234768 in words is "three billion, four hundred thirty-eight million, two hundred thirty-four thousand, seven hundred sixty-eight".