34314300010400 has 72 divisors (see below), whose sum is σ = 84145434597504. Its totient is φ = 13664169619200.

The previous prime is 34314300010381. The next prime is 34314300010481. The reversal of 34314300010400 is 401000341343.

34314300010400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95993966 + ... + 96350765.

It is an arithmetic number, because the mean of its divisors is an integer number (1168686591632).

Almost surely, 2^{34314300010400} is an apocalyptic number.

It is an amenable number.

34314300010400 is an abundant number, since it is smaller than the sum of its proper divisors (49831134587104).

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

34314300010400 is a wasteful number, since it uses less digits than its factorization.

34314300010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192344974 (or 192344961 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34314300010400 its reverse (401000341343), we get a palindrome (34715300351743).

The spelling of 34314300010400 in words is "thirty-four trillion, three hundred fourteen billion, three hundred million, ten thousand, four hundred".