34816750992 has 200 divisors, whose sum is σ = 108970811136. Its totient is φ = 10690182144.

The previous prime is 34816750987. The next prime is 34816750999. The reversal of 34816750992 is 29905761843.

34816750992 is a `hidden beast` number, since 3 + 48 + 1 + 6 + 7 + 509 + 92 = 666.

It is a super-2 number, since 2×34816750992² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34816750999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1018693 + ... + 1052315.

It is a 1-persistent number, because it is pandigital, but 2⋅34816750992 = 69633501984 is not.

Almost surely, 2^34816750992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34816750992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54485405568).

34816750992 is an abundant number, since it is smaller than the sum of its proper divisors (74154060144).

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

34816750992 is a wasteful number, since it uses less digits than its factorization.

34816750992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33707 (or 33692 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 34816750992 in words is "thirty-four billion, eight hundred sixteen million, seven hundred fifty thousand, nine hundred ninety-two".