34323771468672 has 512 divisors, whose sum is σ = 117568396108800. Its totient is φ = 9655925760000.

The previous prime is 34323771468647. The next prime is 34323771468677. The reversal of 34323771468672 is 27686417732343.

34323771468672 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 37 + 71 + 468 + 6 + 72 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34323771468677) 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, 442215147 + ... + 442292757.

It is an arithmetic number, because the mean of its divisors is an integer number (229625773650).

Almost surely, 2^{34323771468672} is an apocalyptic number.

34323771468672 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 34323771468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58784198054400).

34323771468672 is an abundant number, since it is smaller than the sum of its proper divisors (83244624640128).

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

34323771468672 is a wasteful number, since it uses less digits than its factorization.

34323771468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77923 (or 77905 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 63.

The spelling of 34323771468672 in words is "thirty-four trillion, three hundred twenty-three billion, seven hundred seventy-one million, four hundred sixty-eight thousand, six hundred seventy-two".