34067319552 has 720 divisors, whose sum is σ = 122704361472. Its totient is φ = 9196830720.

The previous prime is 34067319529. The next prime is 34067319557. The reversal of 34067319552 is 25591376043.

34067319552 is a `hidden beast` number, since 3 + 4 + 0 + 67 + 31 + 9 + 552 = 666.

It is a super-2 number, since 2×34067319552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34067319498 and 34067319507.

It is not an unprimeable number, because it can be changed into a prime (34067319557) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301480648 + ... + 301480760.

Almost surely, 2^34067319552 is an apocalyptic number.

34067319552 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 34067319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61352180736).

34067319552 is an abundant number, since it is smaller than the sum of its proper divisors (88637041920).

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

34067319552 is a wasteful number, since it uses less digits than its factorization.

34067319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 34067319552 in words is "thirty-four billion, sixty-seven million, three hundred nineteen thousand, five hundred fifty-two".