34487280 has 120 divisors (see below), whose sum is σ = 121963920. Its totient is φ = 8709120.

The previous prime is 34487269. The next prime is 34487287. The reversal of 34487280 is 8278443.

34487280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34487287) by changing a digit.

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, 12420 + ... + 14940.

It is an arithmetic number, because the mean of its divisors is an integer number (1016366).

Almost surely, 2^34487280 is an apocalyptic number.

34487280 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 34487280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60981960).

34487280 is an abundant number, since it is smaller than the sum of its proper divisors (87476640).

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

34487280 is a wasteful number, since it uses less digits than its factorization.

34487280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34487280 is about 5872.5871641041. The cubic root of 34487280 is about 325.5014900793.

The spelling of 34487280 in words is "thirty-four million, four hundred eighty-seven thousand, two hundred eighty".