34572973768704 has 288 divisors, whose sum is σ = 117072141056640. Its totient is φ = 9877985427456.

The previous prime is 34572973768699. The next prime is 34572973768709. The reversal of 34572973768704 is 40786737927543.

34572973768704 is a `hidden beast` number, since 3 + 457 + 2 + 97 + 3 + 7 + 6 + 87 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34572973768699) and next prime (34572973768709).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34572973768704² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34572973768709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24074802 + ... + 25470414.

It is an arithmetic number, because the mean of its divisors is an integer number (406500489780).

Almost surely, 2^{34572973768704} 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 34572973768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58536070528320).

34572973768704 is an abundant number, since it is smaller than the sum of its proper divisors (82499167287936).

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

34572973768704 is an frugal number, since it uses more digits than its factorization.

34572973768704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395663 (or 1395625 counting only the distinct ones).

The product of its (nonzero) digits is 1493614080, while the sum is 72.

The spelling of 34572973768704 in words is "thirty-four trillion, five hundred seventy-two billion, nine hundred seventy-three million, seven hundred sixty-eight thousand, seven hundred four".