34008475968 has 252 divisors, whose sum is σ = 102577343232. Its totient is φ = 11171416320.

The previous prime is 34008475937. The next prime is 34008476011. The reversal of 34008475968 is 86957480043.

34008475968 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 8 + 47 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178054753 + ... + 178054943.

Almost surely, 2^34008475968 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 34008475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51288671616).

34008475968 is an abundant number, since it is smaller than the sum of its proper divisors (68568867264).

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

34008475968 is an equidigital number, since it uses as much as digits as its factorization.

34008475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 34008475968 in words is "thirty-four billion, eight million, four hundred seventy-five thousand, nine hundred sixty-eight".