344078864384 has 104 divisors (see below), whose sum is σ = 712806703560. Its totient is φ = 165950259200.

The previous prime is 344078864359. The next prime is 344078864387. The reversal of 344078864384 is 483468870443.

It can be written as a sum of positive squares in 4 ways, for example, as 23632297984 + 320446566400 = 153728^2 + 566080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344078864387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14934794 + ... + 14957814.

Almost surely, 2^344078864384 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 344078864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356403351780).

344078864384 is an abundant number, since it is smaller than the sum of its proper divisors (368727839176).

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

344078864384 is an equidigital number, since it uses as much as digits as its factorization.

344078864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23175 (or 23153 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 59.

The spelling of 344078864384 in words is "three hundred forty-four billion, seventy-eight million, eight hundred sixty-four thousand, three hundred eighty-four".