344454340884 has 192 divisors, whose sum is σ = 903382824960. Its totient is φ = 101513502720.

The previous prime is 344454340843. The next prime is 344454340889. The reversal of 344454340884 is 488043454443.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344454340889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264354177 + ... + 264355479.

It is an arithmetic number, because the mean of its divisors is an integer number (4705118880).

Almost surely, 2^344454340884 is an apocalyptic number.

344454340884 is a gapful number since it is divisible by the number (34) 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 344454340884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451691412480).

344454340884 is an abundant number, since it is smaller than the sum of its proper divisors (558928484076).

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

344454340884 is a wasteful number, since it uses less digits than its factorization.

344454340884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 51.

The spelling of 344454340884 in words is "three hundred forty-four billion, four hundred fifty-four million, three hundred forty thousand, eight hundred eighty-four".