34516992 has 78 divisors (see below), whose sum is σ = 93803332. Its totient is φ = 11288576.

The previous prime is 34516991. The next prime is 34517009. The reversal of 34516992 is 29961543.

It is a self number, because there is not a number n which added to its sum of digits gives 34516992.

It is not an unprimeable number, because it can be changed into a prime (34516991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 651238 + ... + 651290.

Almost surely, 2^34516992 is an apocalyptic number.

34516992 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 34516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46901666).

34516992 is an abundant number, since it is smaller than the sum of its proper divisors (59286340).

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

34516992 is an frugal number, since it uses more digits than its factorization.

34516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 58 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 34516992 is about 5875.1163392736. The cubic root of 34516992 is about 325.5949402269.

The spelling of 34516992 in words is "thirty-four million, five hundred sixteen thousand, nine hundred ninety-two".