34688431008 has 576 divisors, whose sum is σ = 128572738560. Its totient is φ = 8905628160.

The previous prime is 34688430989. The next prime is 34688431009. The reversal of 34688431008 is 80013488643.

34688431008 is a `hidden beast` number, since 3 + 468 + 84 + 3 + 100 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34688431009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78303235 + ... + 78303677.

It is an arithmetic number, because the mean of its divisors is an integer number (223216560).

Almost surely, 2^34688431008 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 34688431008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64286369280).

34688431008 is an abundant number, since it is smaller than the sum of its proper divisors (93884307552).

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

34688431008 is a wasteful number, since it uses less digits than its factorization.

34688431008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 34688431008 in words is "thirty-four billion, six hundred eighty-eight million, four hundred thirty-one thousand, eight".