34215341200000 has 192 divisors, whose sum is σ = 85222159495200. Its totient is φ = 13682378880000.

The previous prime is 34215341199989. The next prime is 34215341200049. The reversal of 34215341200000 is 214351243.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802790511 + ... + 1802809489.

Almost surely, 2^{34215341200000} 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 34215341200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42611079747600).

34215341200000 is an abundant number, since it is smaller than the sum of its proper divisors (51006818295200).

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

34215341200000 is an frugal number, since it uses more digits than its factorization.

34215341200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23525 (or 23493 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34215341200000 its reverse (214351243), we get a palindrome (34215555551243).

The spelling of 34215341200000 in words is "thirty-four trillion, two hundred fifteen billion, three hundred forty-one million, two hundred thousand".