34132244442300 has 432 divisors, whose sum is σ = 111124026773760. Its totient is φ = 8753660928000.

The previous prime is 34132244442293. The next prime is 34132244442301. The reversal of 34132244442300 is 324444223143.

34132244442300 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 224 + 4 + 4 + 423 + 0 + 0 = 666.

It is a super-2 number, since 2×34132244442300² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132244442301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3422460114 + ... + 3422470086.

Almost surely, 2^{34132244442300} is an apocalyptic number.

34132244442300 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 34132244442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55562013386880).

34132244442300 is an abundant number, since it is smaller than the sum of its proper divisors (76991782331460).

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

34132244442300 is a wasteful number, since it uses less digits than its factorization.

34132244442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34132244442300 its reverse (324444223143), we get a palindrome (34456688665443).

The spelling of 34132244442300 in words is "thirty-four trillion, one hundred thirty-two billion, two hundred forty-four million, four hundred forty-two thousand, three hundred".