34012320309984 has 96 divisors (see below), whose sum is σ = 89673003673344. Its totient is φ = 11287840250880.

The previous prime is 34012320309911. The next prime is 34012320310063. The reversal of 34012320309984 is 48990302321043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299920557 + ... + 300033939.

It is an arithmetic number, because the mean of its divisors is an integer number (934093788264).

Almost surely, 2^{34012320309984} 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 34012320309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44836501836672).

34012320309984 is an abundant number, since it is smaller than the sum of its proper divisors (55660683363360).

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

34012320309984 is a wasteful number, since it uses less digits than its factorization.

34012320309984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127040 (or 127032 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 34012320309984 in words is "thirty-four trillion, twelve billion, three hundred twenty million, three hundred nine thousand, nine hundred eighty-four".