34457213896044 has 96 divisors (see below), whose sum is σ = 85307839303680. Its totient is φ = 10794559284288.

The previous prime is 34457213895967. The next prime is 34457213896073. The reversal of 34457213896044 is 44069831275443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18252667 + ... + 20051789.

It is an arithmetic number, because the mean of its divisors is an integer number (888623326080).

It is a 1-persistent number, because it is pandigital, but 2⋅34457213896044 = 68914427792088 is not.

Almost surely, 2^{34457213896044} 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 34457213896044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653919651840).

34457213896044 is an abundant number, since it is smaller than the sum of its proper divisors (50850625407636).

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

34457213896044 is a wasteful number, since it uses less digits than its factorization.

34457213896044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799819 (or 1799817 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 34457213896044 in words is "thirty-four trillion, four hundred fifty-seven billion, two hundred thirteen million, eight hundred ninety-six thousand, forty-four".