34675940 has 48 divisors (see below), whose sum is σ = 78935472. Its totient is φ = 12719616.

The previous prime is 34675853. The next prime is 34675943. The reversal of 34675940 is 4957643.

It can be written as a sum of positive squares in 8 ways, for example, as 5494336 + 29181604 = 2344^2 + 5402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34675894 and 34675903.

It is not an unprimeable number, because it can be changed into a prime (34675943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50882 + ... + 51558.

It is an arithmetic number, because the mean of its divisors is an integer number (1644489).

Almost surely, 2^34675940 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 34675940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39467736).

34675940 is an abundant number, since it is smaller than the sum of its proper divisors (44259532).

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

34675940 is a wasteful number, since it uses less digits than its factorization.

34675940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

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

The square root of 34675940 is about 5888.6280235722. The cubic root of 34675940 is about 326.0939546273.

The spelling of 34675940 in words is "thirty-four million, six hundred seventy-five thousand, nine hundred forty".