34079616 has 160 divisors (see below), whose sum is σ = 107375400. Its totient is φ = 10699776.

The previous prime is 34079609. The next prime is 34079641. The reversal of 34079616 is 61697043.

34079616 is a `hidden beast` number, since 34 + 0 + 7 + 9 + 616 = 666.

It is a super-2 number, since 2×34079616² = 2322840453414912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196906 + ... + 197078.

Almost surely, 2^34079616 is an apocalyptic number.

34079616 is a gapful number since it is divisible by the number (36) 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 34079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687700).

34079616 is an abundant number, since it is smaller than the sum of its proper divisors (73295784).

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

34079616 is a wasteful number, since it uses less digits than its factorization.

34079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34079616 is about 5837.7749185799. The cubic root of 34079616 is about 324.2138505901.

The spelling of 34079616 in words is "thirty-four million, seventy-nine thousand, six hundred sixteen".