3394752768 has 432 divisors, whose sum is σ = 11437013952. Its totient is φ = 1003622400.

The previous prime is 3394752719. The next prime is 3394752793. The reversal of 3394752768 is 8672574933.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7620480) is a multiple of the sum of its prime factors (105).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82798828 + ... + 82798868.

Almost surely, 2^3394752768 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 3394752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718506976).

3394752768 is an abundant number, since it is smaller than the sum of its proper divisors (8042261184).

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

3394752768 is an frugal number, since it uses more digits than its factorization.

3394752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3394752768 is about 58264.5069317505. The cubic root of 3394752768 is about 1502.9206455289.

It can be divided in two parts, 339475 and 2768, that added together give a palindrome (342243).

The spelling of 3394752768 in words is "three billion, three hundred ninety-four million, seven hundred fifty-two thousand, seven hundred sixty-eight".