34162216992 has 192 divisors, whose sum is σ = 106491853440. Its totient is φ = 10616905728.

The previous prime is 34162216951. The next prime is 34162217021. The reversal of 34162216992 is 29961226143.

34162216992 is a `hidden beast` number, since 3 + 4 + 1 + 622 + 16 + 9 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560748 + ... + 1582484.

It is an arithmetic number, because the mean of its divisors is an integer number (554645070).

Almost surely, 2^34162216992 is an apocalyptic number.

34162216992 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 34162216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53245926720).

34162216992 is an abundant number, since it is smaller than the sum of its proper divisors (72329636448).

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

34162216992 is a wasteful number, since it uses less digits than its factorization.

34162216992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21880 (or 21866 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 34162216992 in words is "thirty-four billion, one hundred sixty-two million, two hundred sixteen thousand, nine hundred ninety-two".