34390488006 has 144 divisors (see below), whose sum is σ = 90046900944. Its totient is φ = 9808537536.

The previous prime is 34390487987. The next prime is 34390488023. The reversal of 34390488006 is 60088409343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20312496 + ... + 20314188.

It is an arithmetic number, because the mean of its divisors is an integer number (625325701).

Almost surely, 2^34390488006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34390488006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45023450472).

34390488006 is an abundant number, since it is smaller than the sum of its proper divisors (55656412938).

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

34390488006 is a wasteful number, since it uses less digits than its factorization.

34390488006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34390488006 in words is "thirty-four billion, three hundred ninety million, four hundred eighty-eight thousand, six".