34545011200 has 240 divisors, whose sum is σ = 100978251264. Its totient is φ = 11461017600.

The previous prime is 34545011197. The next prime is 34545011201. The reversal of 34545011200 is 211054543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34545011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2771382 + ... + 2783818.

Almost surely, 2^34545011200 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 34545011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50489125632).

34545011200 is an abundant number, since it is smaller than the sum of its proper divisors (66433240064).

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

34545011200 is a wasteful number, since it uses less digits than its factorization.

34545011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 34545011200 its reverse (211054543), we get a palindrome (34756065743).

The spelling of 34545011200 in words is "thirty-four billion, five hundred forty-five million, eleven thousand, two hundred".