34034080608 has 384 divisors, whose sum is σ = 113427578880. Its totient is φ = 9834048000.

The previous prime is 34034080603. The next prime is 34034080693. The reversal of 34034080608 is 80608043043.

34034080608 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 40 + 8 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034080603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20917491 + ... + 20919117.

It is an arithmetic number, because the mean of its divisors is an integer number (295384320).

Almost surely, 2^34034080608 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 34034080608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56713789440).

34034080608 is an abundant number, since it is smaller than the sum of its proper divisors (79393498272).

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

34034080608 is a wasteful number, since it uses less digits than its factorization.

34034080608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34034080608 in words is "thirty-four billion, thirty-four million, eighty thousand, six hundred eight".