34311102214300 has 72 divisors (see below), whose sum is σ = 74530014367536. Its totient is φ = 13710633192960.

The previous prime is 34311102214289. The next prime is 34311102214327. The reversal of 34311102214300 is 341220111343.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690441752 + ... + 1690462048.

It is an arithmetic number, because the mean of its divisors is an integer number (1035139088438).

Almost surely, 2^{34311102214300} is an apocalyptic number.

It is an amenable number.

34311102214300 is an abundant number, since it is smaller than the sum of its proper divisors (40218912153236).

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

34311102214300 is a wasteful number, since it uses less digits than its factorization.

34311102214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36487 (or 36480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 34311102214300 its reverse (341220111343), we get a palindrome (34652322325643).

The spelling of 34311102214300 in words is "thirty-four trillion, three hundred eleven billion, one hundred two million, two hundred fourteen thousand, three hundred".