34064654000 has 240 divisors, whose sum is σ = 90197976960. Its totient is φ = 12436070400.

The previous prime is 34064653993. The next prime is 34064654069. The reversal of 34064654000 is 45646043.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32785481 + ... + 32786519.

It is an arithmetic number, because the mean of its divisors is an integer number (375824904).

Almost surely, 2^34064654000 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 34064654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45098988480).

34064654000 is an abundant number, since it is smaller than the sum of its proper divisors (56133322960).

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

34064654000 is a wasteful number, since it uses less digits than its factorization.

34064654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 34064654000 in words is "thirty-four billion, sixty-four million, six hundred fifty-four thousand".