344030304403044 has 576 divisors, whose sum is σ = 1074760671129600. Its totient is φ = 90614862176256.

The previous prime is 344030304403039. The next prime is 344030304403073. The reversal of 344030304403044 is 440304403030443.

344030304403044 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 3 + 0 + 304 + 40 + 304 + 4 = 666.

It is a super-2 number, since 2×344030304403044² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13514160364 + ... + 13514185820.

Almost surely, 2^{344030304403044} 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 344030304403044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537380335564800).

344030304403044 is an abundant number, since it is smaller than the sum of its proper divisors (730730366726556).

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

344030304403044 is a wasteful number, since it uses less digits than its factorization.

344030304403044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26067 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 344030304403044 its reverse (440304403030443), we get a palindrome (784334707433487).

The spelling of 344030304403044 in words is "three hundred forty-four trillion, thirty billion, three hundred four million, four hundred three thousand, forty-four".