34201444500 has 144 divisors (see below), whose sum is σ = 109723723200. Its totient is φ = 8965732800.

The previous prime is 34201444481. The next prime is 34201444573. The reversal of 34201444500 is 544410243.

It is a happy number.

34201444500 is a `hidden beast` number, since 3 + 4 + 201 + 4 + 4 + 450 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201091 + ... + 329909.

It is an arithmetic number, because the mean of its divisors is an integer number (761970300).

Almost surely, 2^34201444500 is an apocalyptic number.

34201444500 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 34201444500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54861861600).

34201444500 is an abundant number, since it is smaller than the sum of its proper divisors (75522278700).

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

34201444500 is a wasteful number, since it uses less digits than its factorization.

34201444500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128903 (or 128888 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34201444500 its reverse (544410243), we get a palindrome (34745854743).

The spelling of 34201444500 in words is "thirty-four billion, two hundred one million, four hundred forty-four thousand, five hundred".