1346935968 has 144 divisors (see below), whose sum is σ = 4427317440. Its totient is φ = 380464128.

The previous prime is 1346935939. The next prime is 1346935969. The reversal of 1346935968 is 8695396431.

1346935968 is a `hidden beast` number, since 1 + 3 + 46 + 9 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1346935969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175671 + ... + 183177.

It is an arithmetic number, because the mean of its divisors is an integer number (30745260).

Almost surely, 2^1346935968 is an apocalyptic number.

1346935968 is a gapful number since it is divisible by the number (18) 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 1346935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213658720).

1346935968 is an abundant number, since it is smaller than the sum of its proper divisors (3080381472).

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

1346935968 is a wasteful number, since it uses less digits than its factorization.

1346935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7608 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 1346935968 is about 36700.6262616866. The cubic root of 1346935968 is about 1104.3726687679.

The spelling of 1346935968 in words is "one billion, three hundred forty-six million, nine hundred thirty-five thousand, nine hundred sixty-eight".