34064593846272 has 1520 divisors, whose sum is σ = 122996018927232. Its totient is φ = 9268069662720.

The previous prime is 34064593846253. The next prime is 34064593846331. The reversal of 34064593846272 is 27264839546043.

It is a happy number.

34064593846272 is a `hidden beast` number, since 3 + 40 + 6 + 45 + 93 + 8 + 462 + 7 + 2 = 666.

It is a super-2 number, since 2×34064593846272² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91325988678 + ... + 91325989050.

Almost surely, 2^{34064593846272} is an apocalyptic number.

34064593846272 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 34064593846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61498009463616).

34064593846272 is an abundant number, since it is smaller than the sum of its proper divisors (88931425080960).

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

34064593846272 is an equidigital number, since it uses as much as digits as its factorization.

34064593846272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 34064593846272 in words is "thirty-four trillion, sixty-four billion, five hundred ninety-three million, eight hundred forty-six thousand, two hundred seventy-two".