344893450356 has 216 divisors, whose sum is σ = 1098209856744. Its totient is φ = 90457274880.

The previous prime is 344893450351. The next prime is 344893450373. The reversal of 344893450356 is 653054398443.

344893450356 is a `hidden beast` number, since 3 + 4 + 4 + 89 + 3 + 4 + 503 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10076144400 + 334817305956 = 100380^2 + 578634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344893450351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4109146 + ... + 4192238.

Almost surely, 2^344893450356 is an apocalyptic number.

344893450356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344893450356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549104928372).

344893450356 is an abundant number, since it is smaller than the sum of its proper divisors (753316406388).

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

344893450356 is a wasteful number, since it uses less digits than its factorization.

344893450356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83311 (or 83299 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 344893450356 in words is "three hundred forty-four billion, eight hundred ninety-three million, four hundred fifty thousand, three hundred fifty-six".