3402712768 has 224 divisors, whose sum is σ = 8782921728. Its totient is φ = 1271808000.

The previous prime is 3402712763. The next prime is 3402712771. The reversal of 3402712768 is 8672172043.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 3402712768.

It is not an unprimeable number, because it can be changed into a prime (3402712763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8485368 + ... + 8485768.

It is an arithmetic number, because the mean of its divisors is an integer number (39209472).

Almost surely, 2^3402712768 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 3402712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391460864).

3402712768 is an abundant number, since it is smaller than the sum of its proper divisors (5380208960).

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

3402712768 is a wasteful number, since it uses less digits than its factorization.

3402712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 3402712768 is about 58332.7761040052. The cubic root of 3402712768 is about 1504.0944089673.

The spelling of 3402712768 in words is "three billion, four hundred two million, seven hundred twelve thousand, seven hundred sixty-eight".