344734742632896 has 1344 divisors, whose sum is σ = 1341770880486400. Its totient is φ = 84723503800320.

The previous prime is 344734742632849. The next prime is 344734742632927. The reversal of 344734742632896 is 698236247437443.

344734742632896 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 3 + 474 + 2 + 63 + 2 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 23720817246 + ... + 23720831778.

Almost surely, 2^{344734742632896} is an apocalyptic number.

344734742632896 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 344734742632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670885440243200).

344734742632896 is an abundant number, since it is smaller than the sum of its proper divisors (997036137853504).

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

344734742632896 is a wasteful number, since it uses less digits than its factorization.

344734742632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15455 (or 15428 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 72.

The spelling of 344734742632896 in words is "three hundred forty-four trillion, seven hundred thirty-four billion, seven hundred forty-two million, six hundred thirty-two thousand, eight hundred ninety-six".