34609680 has 300 divisors, whose sum is σ = 141112620. Its totient is φ = 7838208.

The previous prime is 34609669. The next prime is 34609693. The reversal of 34609680 is 8690643.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 16257024 = 4284^2 + 4032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317466 + ... + 317574.

Almost surely, 2^34609680 is an apocalyptic number.

34609680 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 34609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70556310).

34609680 is an abundant number, since it is smaller than the sum of its proper divisors (106502940).

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

34609680 is a wasteful number, since it uses less digits than its factorization.

34609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34609680 is about 5882.9992350841. Note that the first 3 decimals coincide. The cubic root of 34609680 is about 325.8861182762.

The spelling of 34609680 in words is "thirty-four million, six hundred nine thousand, six hundred eighty".