344871641088 has 896 divisors, whose sum is σ = 1173159106560. Its totient is φ = 99373547520.

The previous prime is 344871641087. The next prime is 344871641099. The reversal of 344871641088 is 880146178443.

344871641088 is a `hidden beast` number, since 34 + 487 + 16 + 41 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344871641083) 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, 4724269020 + ... + 4724269092.

It is an arithmetic number, because the mean of its divisors is an integer number (1309329360).

Almost surely, 2^344871641088 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 344871641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586579553280).

344871641088 is an abundant number, since it is smaller than the sum of its proper divisors (828287465472).

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

344871641088 is a wasteful number, since it uses less digits than its factorization.

344871641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 344871641088 in words is "three hundred forty-four billion, eight hundred seventy-one million, six hundred forty-one thousand, eighty-eight".