34265380968 has 256 divisors, whose sum is σ = 117754560000. Its totient is φ = 8990134272.

The previous prime is 34265380967. The next prime is 34265381039. The reversal of 34265380968 is 86908356243.

34265380968 is a `hidden beast` number, since 3 + 42 + 6 + 538 + 0 + 9 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34265380967) 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 63 ways as a sum of consecutive naturals, for example, 3867808 + ... + 3876656.

It is an arithmetic number, because the mean of its divisors is an integer number (459978750).

Almost surely, 2^34265380968 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 34265380968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58877280000).

34265380968 is an abundant number, since it is smaller than the sum of its proper divisors (83489179032).

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

34265380968 is a wasteful number, since it uses less digits than its factorization.

34265380968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34265380968 in words is "thirty-four billion, two hundred sixty-five million, three hundred eighty thousand, nine hundred sixty-eight".