34164438000 has 640 divisors, whose sum is σ = 139343652864. Its totient is φ = 6994944000.

The previous prime is 34164437987. The next prime is 34164438041. The reversal of 34164438000 is 83446143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33725494 + ... + 33726506.

Almost surely, 2^34164438000 is an apocalyptic number.

34164438000 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 34164438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69671826432).

34164438000 is an abundant number, since it is smaller than the sum of its proper divisors (105179214864).

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

34164438000 is a wasteful number, since it uses less digits than its factorization.

34164438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 34164438000 in words is "thirty-four billion, one hundred sixty-four million, four hundred thirty-eight thousand".