34586640 has 180 divisors, whose sum is σ = 127994412. Its totient is φ = 8363520.

The previous prime is 34586603. The next prime is 34586659. The reversal of 34586640 is 4668543.

34586640 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 16744464 = 4224^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 34586595 and 34586604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86922 + ... + 87318.

Almost surely, 2^34586640 is an apocalyptic number.

34586640 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 34586640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63997206).

34586640 is an abundant number, since it is smaller than the sum of its proper divisors (93407772).

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

34586640 is a wasteful number, since it uses less digits than its factorization.

34586640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34586640 is about 5881.0407242256. The cubic root of 34586640 is about 325.8137870389.

The spelling of 34586640 in words is "thirty-four million, five hundred eighty-six thousand, six hundred forty".