34116480 has 96 divisors (see below), whose sum is σ = 117828360. Its totient is φ = 9096192.

The previous prime is 34116473. The next prime is 34116517. The reversal of 34116480 is 8461143.

34116480 = 230² + 231² + ... + 485².

34116480 is a `hidden beast` number, since 3 + 4 + 11 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2799 + ... + 8721.

Almost surely, 2^34116480 is an apocalyptic number.

34116480 is a gapful number since it is divisible by the number (30) 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 34116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58914180).

34116480 is an abundant number, since it is smaller than the sum of its proper divisors (83711880).

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

34116480 is a wasteful number, since it uses less digits than its factorization.

34116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34116480 is about 5840.9314325713. The cubic root of 34116480 is about 324.3307094238.

It can be divided in two parts, 34116 and 480, that added together give a square (34596 = 186²).

The spelling of 34116480 in words is "thirty-four million, one hundred sixteen thousand, four hundred eighty".