34585980 has 192 divisors, whose sum is σ = 118540800. Its totient is φ = 7418880.

The previous prime is 34585979. The next prime is 34585981. The reversal of 34585980 is 8958543.

It is an interprime number because it is at equal distance from previous prime (34585979) and next prime (34585981).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34585981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248751 + ... + 248889.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 2^34585980 is an apocalyptic number.

34585980 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 34585980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

34585980 is an abundant number, since it is smaller than the sum of its proper divisors (83954820).

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

34585980 is a wasteful number, since it uses less digits than its factorization.

34585980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 34585980 is about 5880.9846114405. The cubic root of 34585980 is about 325.8117145772.

The spelling of 34585980 in words is "thirty-four million, five hundred eighty-five thousand, nine hundred eighty".