34945760 has 48 divisors (see below), whose sum is σ = 84805056. Its totient is φ = 13598208.

The previous prime is 34945753. The next prime is 34945777. The reversal of 34945760 is 6754943.

It is a super-2 number, since 2×34945760² = 2442412283955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2969 + ... + 8871.

It is an arithmetic number, because the mean of its divisors is an integer number (1766772).

Almost surely, 2^34945760 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 34945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42402528).

34945760 is an abundant number, since it is smaller than the sum of its proper divisors (49859296).

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

34945760 is a wasteful number, since it uses less digits than its factorization.

34945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 34945760 is about 5911.4938890267. The cubic root of 34945760 is about 326.9375697168.

The spelling of 34945760 in words is "thirty-four million, nine hundred forty-five thousand, seven hundred sixty".