3454406568 has 128 divisors (see below), whose sum is σ = 10123920000. Its totient is φ = 1088349696.

The previous prime is 3454406561. The next prime is 3454406581. The reversal of 3454406568 is 8656044543.

3454406568 is a `hidden beast` number, since 3 + 45 + 4 + 40 + 6 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (3454406561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2679268 + ... + 2680556.

It is an arithmetic number, because the mean of its divisors is an integer number (79093125).

Almost surely, 2^3454406568 is an apocalyptic number.

3454406568 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 3454406568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061960000).

3454406568 is an abundant number, since it is smaller than the sum of its proper divisors (6669513432).

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

3454406568 is a wasteful number, since it uses less digits than its factorization.

3454406568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 3454406568 is about 58774.1998499342. The cubic root of 3454406568 is about 1511.6728632141.

The spelling of 3454406568 in words is "three billion, four hundred fifty-four million, four hundred six thousand, five hundred sixty-eight".