34982080 has 168 divisors, whose sum is σ = 102156768. Its totient is φ = 11354112.

The previous prime is 34982047. The next prime is 34982081. The reversal of 34982080 is 8028943.

It is a super-2 number, since 2×34982080² = 2447491842252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34982081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360592 + ... + 360688.

It is an arithmetic number, because the mean of its divisors is an integer number (608076).

Almost surely, 2^34982080 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 34982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51078384).

34982080 is an abundant number, since it is smaller than the sum of its proper divisors (67174688).

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

34982080 is a wasteful number, since it uses less digits than its factorization.

34982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 34982080 is about 5914.5650727674. The cubic root of 34982080 is about 327.0507952901.

The spelling of 34982080 in words is "thirty-four million, nine hundred eighty-two thousand, eighty".