34115128992 has 480 divisors, whose sum is σ = 119524737024. Its totient is φ = 9340531200.

The previous prime is 34115128979. The next prime is 34115129003. The reversal of 34115128992 is 29982151143.

34115128992 is a `hidden beast` number, since 3 + 41 + 1 + 512 + 8 + 9 + 92 = 666.

It is a super-2 number, since 2×34115128992² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73682553 + ... + 73683015.

Almost surely, 2^34115128992 is an apocalyptic number.

34115128992 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 34115128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59762368512).

34115128992 is an abundant number, since it is smaller than the sum of its proper divisors (85409608032).

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

34115128992 is a wasteful number, since it uses less digits than its factorization.

34115128992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 637 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 34115128992 in words is "thirty-four billion, one hundred fifteen million, one hundred twenty-eight thousand, nine hundred ninety-two".