34000844640 has 384 divisors, whose sum is σ = 127069544448. Its totient is φ = 7478231040.

The previous prime is 34000844629. The next prime is 34000844653. The reversal of 34000844640 is 4644800043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20518692 + ... + 20520348.

It is an arithmetic number, because the mean of its divisors is an integer number (330910272).

Almost surely, 2^34000844640 is an apocalyptic number.

34000844640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63534772224).

34000844640 is an abundant number, since it is smaller than the sum of its proper divisors (93068699808).

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

34000844640 is a wasteful number, since it uses less digits than its factorization.

34000844640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 34000844640 in words is "thirty-four billion, eight hundred forty-four thousand, six hundred forty".