34804354793472 has 840 divisors, whose sum is σ = 115065428695392. Its totient is φ = 10434222489600.

The previous prime is 34804354793471. The next prime is 34804354793473. The reversal of 34804354793472 is 27439745340843.

34804354793472 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 4 + 35 + 47 + 93 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (34804354793471) and next prime (34804354793473).

It is a super-2 number, since 2×34804354793472² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34804354793471) 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 55 ways as a sum of consecutive naturals, for example, 12744178347 + ... + 12744181077.

Almost surely, 2^{34804354793472} is an apocalyptic number.

34804354793472 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 34804354793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57532714347696).

34804354793472 is an abundant number, since it is smaller than the sum of its proper divisors (80261073901920).

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

34804354793472 is an frugal number, since it uses more digits than its factorization.

34804354793472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 34804354793472 in words is "thirty-four trillion, eight hundred four billion, three hundred fifty-four million, seven hundred ninety-three thousand, four hundred seventy-two".