34132335000 has 160 divisors (see below), whose sum is σ = 106777820160. Its totient is φ = 9089296000.

The previous prime is 34132334993. The next prime is 34132335043. The reversal of 34132335000 is 53323143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16543969 + ... + 16546031.

It is an arithmetic number, because the mean of its divisors is an integer number (667361376).

Almost surely, 2^34132335000 is an apocalyptic number.

34132335000 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 34132335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53388910080).

34132335000 is an abundant number, since it is smaller than the sum of its proper divisors (72645485160).

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

34132335000 is a wasteful number, since it uses less digits than its factorization.

34132335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 34132335000 its reverse (53323143), we get a palindrome (34185658143).

The spelling of 34132335000 in words is "thirty-four billion, one hundred thirty-two million, three hundred thirty-five thousand".