34106832000 has 320 divisors, whose sum is σ = 126678534840. Its totient is φ = 9094809600.

The previous prime is 34106831981. The next prime is 34106832007. The reversal of 34106832000 is 23860143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12342321216 + 21764510784 = 111096^2 + 147528^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34106832007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1282842 + ... + 1309158.

Almost surely, 2^34106832000 is an apocalyptic number.

34106832000 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 34106832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63339267420).

34106832000 is an abundant number, since it is smaller than the sum of its proper divisors (92571702840).

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

34106832000 is an equidigital number, since it uses as much as digits as its factorization.

34106832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26358 (or 26327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34106832000 in words is "thirty-four billion, one hundred six million, eight hundred thirty-two thousand".