34232132000 has 192 divisors, whose sum is σ = 92675052288. Its totient is φ = 12323200000.

The previous prime is 34232131987. The next prime is 34232132003. The reversal of 34232132000 is 23123243.

It is a super-2 number, since 2×34232132000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34232132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4440149 + ... + 4447851.

It is an arithmetic number, because the mean of its divisors is an integer number (482682564).

Almost surely, 2^34232132000 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 34232132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46337526144).

34232132000 is an abundant number, since it is smaller than the sum of its proper divisors (58442920288).

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

34232132000 is a wasteful number, since it uses less digits than its factorization.

34232132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34232132000 its reverse (23123243), we get a palindrome (34255255243).

The spelling of 34232132000 in words is "thirty-four billion, two hundred thirty-two million, one hundred thirty-two thousand".