34332723936 has 384 divisors, whose sum is σ = 117573120000. Its totient is φ = 9543647232.

The previous prime is 34332723923. The next prime is 34332723941. The reversal of 34332723936 is 63932723343.

34332723936 is a `hidden beast` number, since 343 + 3 + 272 + 3 + 9 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34332723891 and 34332723900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76464640 + ... + 76465088.

It is an arithmetic number, because the mean of its divisors is an integer number (306180000).

Almost surely, 2^34332723936 is an apocalyptic number.

34332723936 is a gapful number since it is divisible by the number (36) 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 34332723936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560000).

34332723936 is an abundant number, since it is smaller than the sum of its proper divisors (83240396064).

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

34332723936 is a wasteful number, since it uses less digits than its factorization.

34332723936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 777 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 45.

The spelling of 34332723936 in words is "thirty-four billion, three hundred thirty-two million, seven hundred twenty-three thousand, nine hundred thirty-six".