344404773077976 has 384 divisors, whose sum is σ = 1083640973688000. Its totient is φ = 97902353203200.

The previous prime is 344404773077923. The next prime is 344404773077987. The reversal of 344404773077976 is 679770377404443.

344404773077976 is a `hidden beast` number, since 3 + 4 + 440 + 47 + 7 + 3 + 0 + 7 + 79 + 76 = 666.

It is a super-2 number, since 2×344404773077976² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1706825220 + ... + 1707026988.

Almost surely, 2^{344404773077976} is an apocalyptic number.

344404773077976 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 344404773077976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541820486844000).

344404773077976 is an abundant number, since it is smaller than the sum of its proper divisors (739236200610024).

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

344404773077976 is a wasteful number, since it uses less digits than its factorization.

344404773077976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204195 (or 204188 counting only the distinct ones).

The product of its (nonzero) digits is 2091059712, while the sum is 72.

The spelling of 344404773077976 in words is "three hundred forty-four trillion, four hundred four billion, seven hundred seventy-three million, seventy-seven thousand, nine hundred seventy-six".