34400321344 has 112 divisors (see below), whose sum is σ = 70414489600. Its totient is φ = 16669255680.

The previous prime is 34400321327. The next prime is 34400321353. The reversal of 34400321344 is 44312300443.

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, 98568082 + ... + 98568430.

It is an arithmetic number, because the mean of its divisors is an integer number (628700800).

Almost surely, 2^34400321344 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 34400321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35207244800).

34400321344 is an abundant number, since it is smaller than the sum of its proper divisors (36014168256).

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

34400321344 is a wasteful number, since it uses less digits than its factorization.

34400321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34400321344 its reverse (44312300443), we get a palindrome (78712621787).

It can be divided in two parts, 3440032 and 1344, that added together give a triangular number (3441376 = T₂₆₂₃).

The spelling of 34400321344 in words is "thirty-four billion, four hundred million, three hundred twenty-one thousand, three hundred forty-four".