34104469344 has 96 divisors (see below), whose sum is σ = 98318707200. Its totient is φ = 10265280000.

The previous prime is 34104469339. The next prime is 34104469381. The reversal of 34104469344 is 44396440143.

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

It is a super-2 number, since 2×34104469344² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34104469296 and 34104469305.

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, 48969 + ... + 265719.

It is an arithmetic number, because the mean of its divisors is an integer number (1024153200).

Almost surely, 2^34104469344 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 34104469344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49159353600).

34104469344 is an abundant number, since it is smaller than the sum of its proper divisors (64214237856).

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

34104469344 is a wasteful number, since it uses less digits than its factorization.

34104469344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216924 (or 216916 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 34104469344 in words is "thirty-four billion, one hundred four million, four hundred sixty-nine thousand, three hundred forty-four".