34551200000 has 108 divisors (see below), whose sum is σ = 86205771540. Its totient is φ = 13820160000.

The previous prime is 34551199979. The next prime is 34551200003. The reversal of 34551200000 is 215543.

It can be written as a sum of positive squares in 6 ways, for example, as 34086021376 + 465178624 = 184624^2 + 21568^2 .

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 (34551200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778406 + ... + 821594.

Almost surely, 2^34551200000 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 34551200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43102885770).

34551200000 is an abundant number, since it is smaller than the sum of its proper divisors (51654571540).

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

34551200000 is an frugal number, since it uses more digits than its factorization.

34551200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43230 (or 43196 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 34551200000 its reverse (215543), we get a palindrome (34551415543).

The spelling of 34551200000 in words is "thirty-four billion, five hundred fifty-one million, two hundred thousand".