3434016768 has 416 divisors, whose sum is σ = 11713261056. Its totient is φ = 870580224.

The previous prime is 3434016767. The next prime is 3434016791. The reversal of 3434016768 is 8676104343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434016767) 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, 41373655 + ... + 41373737.

Almost surely, 2^3434016768 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 3434016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856630528).

3434016768 is an abundant number, since it is smaller than the sum of its proper divisors (8279244288).

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

3434016768 is a wasteful number, since it uses less digits than its factorization.

3434016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3434016768 is about 58600.4843665989. The cubic root of 3434016768 is about 1508.6927516227.

The spelling of 3434016768 in words is "three billion, four hundred thirty-four million, sixteen thousand, seven hundred sixty-eight".