34285200406336 has 224 divisors, whose sum is σ = 79975384473600. Its totient is φ = 14420247705600.

The previous prime is 34285200406231. The next prime is 34285200406339. The reversal of 34285200406336 is 63360400258243.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34285200406339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1484260515 + ... + 1484283613.

It is an arithmetic number, because the mean of its divisors is an integer number (357032966400).

Almost surely, 2^{34285200406336} 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 34285200406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39987692236800).

34285200406336 is an abundant number, since it is smaller than the sum of its proper divisors (45690184067264).

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

34285200406336 is a wasteful number, since it uses less digits than its factorization.

34285200406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26133 (or 26123 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 34285200406336 in words is "thirty-four trillion, two hundred eighty-five billion, two hundred million, four hundred six thousand, three hundred thirty-six".