34442535300 has 144 divisors (see below), whose sum is σ = 102147962112. Its totient is φ = 8956236800.

The previous prime is 34442535289. The next prime is 34442535307. The reversal of 34442535300 is 353524443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34442535307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957754 + ... + 3966446.

It is an arithmetic number, because the mean of its divisors is an integer number (709360848).

Almost surely, 2^34442535300 is an apocalyptic number.

34442535300 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 34442535300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51073981056).

34442535300 is an abundant number, since it is smaller than the sum of its proper divisors (67705426812).

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

34442535300 is a wasteful number, since it uses less digits than its factorization.

34442535300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

The spelling of 34442535300 in words is "thirty-four billion, four hundred forty-two million, five hundred thirty-five thousand, three hundred".