34314521053200 has 240 divisors, whose sum is σ = 111249116910336. Its totient is φ = 9040356864000.

The previous prime is 34314521053171. The next prime is 34314521053201. The reversal of 34314521053200 is 235012541343.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×34314521053200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34314521053201) 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, 55809852 + ... + 56421348.

Almost surely, 2^{34314521053200} is an apocalyptic number.

34314521053200 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 34314521053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55624558455168).

34314521053200 is an abundant number, since it is smaller than the sum of its proper divisors (76934595857136).

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

34314521053200 is a wasteful number, since it uses less digits than its factorization.

34314521053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612082 (or 612071 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 34314521053200 its reverse (235012541343), we get a palindrome (34549533594543).

The spelling of 34314521053200 in words is "thirty-four trillion, three hundred fourteen billion, five hundred twenty-one million, fifty-three thousand, two hundred".