34420073472 has 176 divisors, whose sum is σ = 104693733120. Its totient is φ = 11162935296.

The previous prime is 34420073449. The next prime is 34420073473. The reversal of 34420073472 is 27437002443.

34420073472 is a `hidden beast` number, since 344 + 200 + 73 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34420073473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006153 + ... + 1039799.

Almost surely, 2^34420073472 is an apocalyptic number.

34420073472 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 34420073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52346866560).

34420073472 is an abundant number, since it is smaller than the sum of its proper divisors (70273659648).

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

34420073472 is a wasteful number, since it uses less digits than its factorization.

34420073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33713 (or 33689 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 34420073472 in words is "thirty-four billion, four hundred twenty million, seventy-three thousand, four hundred seventy-two".