344097919872 has 576 divisors, whose sum is σ = 1188702300240. Its totient is φ = 95204229120.

The previous prime is 344097919871. The next prime is 344097919873. The reversal of 344097919872 is 278919790443.

344097919872 is a `hidden beast` number, since 3 + 4 + 409 + 79 + 1 + 98 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (344097919871) and next prime (344097919873).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344097919871) 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, 363355303 + ... + 363356249.

Almost surely, 2^344097919872 is an apocalyptic number.

344097919872 is a gapful number since it is divisible by the number (32) 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 344097919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594351150120).

344097919872 is an abundant number, since it is smaller than the sum of its proper divisors (844604380368).

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

344097919872 is a wasteful number, since it uses less digits than its factorization.

344097919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 344097919872 in words is "three hundred forty-four billion, ninety-seven million, nine hundred nineteen thousand, eight hundred seventy-two".