34272156672 has 704 divisors, whose sum is σ = 118850457600. Its totient is φ = 9661317120.

The previous prime is 34272156647. The next prime is 34272156673. The reversal of 34272156672 is 27665127243.

34272156672 is a `hidden beast` number, since 3 + 427 + 2 + 156 + 6 + 72 = 666.

It is a super-2 number, since 2×34272156672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34272156673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433824729 + ... + 433824807.

Almost surely, 2^34272156672 is an apocalyptic number.

34272156672 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 34272156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59425228800).

34272156672 is an abundant number, since it is smaller than the sum of its proper divisors (84578300928).

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

34272156672 is a wasteful number, since it uses less digits than its factorization.

34272156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 34272156672 in words is "thirty-four billion, two hundred seventy-two million, one hundred fifty-six thousand, six hundred seventy-two".