34306827072 has 224 divisors, whose sum is σ = 107862624000. Its totient is φ = 9616029696.

The previous prime is 34306827001. The next prime is 34306827109. The reversal of 34306827072 is 27072860343.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×34306827072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3485454 + ... + 3495282.

Almost surely, 2^34306827072 is an apocalyptic number.

34306827072 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 34306827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53931312000).

34306827072 is an abundant number, since it is smaller than the sum of its proper divisors (73555796928).

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

34306827072 is an equidigital number, since it uses as much as digits as its factorization.

34306827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 34306827072 in words is "thirty-four billion, three hundred six million, eight hundred twenty-seven thousand, seventy-two".