34799016 has 96 divisors (see below), whose sum is σ = 102435840. Its totient is φ = 9821952.

The previous prime is 34799003. The next prime is 34799021. The reversal of 34799016 is 61099743.

34799016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34799016³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149236 + ... + 149468.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2^34799016 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 34799016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51217920).

34799016 is an abundant number, since it is smaller than the sum of its proper divisors (67636824).

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

34799016 is a wasteful number, since it uses less digits than its factorization.

34799016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 34799016 is about 5899.0690791005. The cubic root of 34799016 is about 326.4793029866.

The spelling of 34799016 in words is "thirty-four million, seven hundred ninety-nine thousand, sixteen".