34580628 has 48 divisors (see below), whose sum is σ = 90160000. Its totient is φ = 11461824.

The previous prime is 34580587. The next prime is 34580629. The reversal of 34580628 is 82608543.

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 = 34580592 and 34580601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34580629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20688 + ... + 22296.

Almost surely, 2^34580628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34580628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45080000).

34580628 is an abundant number, since it is smaller than the sum of its proper divisors (55579372).

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

34580628 is a wasteful number, since it uses less digits than its factorization.

34580628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

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

The square root of 34580628 is about 5880.5295679896. The cubic root of 34580628 is about 325.7949078224.

The spelling of 34580628 in words is "thirty-four million, five hundred eighty thousand, six hundred twenty-eight".