34685280 has 384 divisors, whose sum is σ = 147087360. Its totient is φ = 7464960.

The previous prime is 34685257. The next prime is 34685281. The reversal of 34685280 is 8258643.

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 (34685281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 937422 + ... + 937458.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^34685280 is an apocalyptic number.

34685280 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 34685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

34685280 is an abundant number, since it is smaller than the sum of its proper divisors (112402080).

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

34685280 is a wasteful number, since it uses less digits than its factorization.

34685280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34685280 is about 5889.4210241755. The cubic root of 34685280 is about 326.1232299127.

The spelling of 34685280 in words is "thirty-four million, six hundred eighty-five thousand, two hundred eighty".