34589952 has 54 divisors (see below), whose sum is σ = 99738002. Its totient is φ = 11529216.

The previous prime is 34589911. The next prime is 34589957. The reversal of 34589952 is 25998543.

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 2509056 = 5664^2 + 1584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34589898 and 34589907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34589957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5203 + ... + 9810.

Almost surely, 2^34589952 is an apocalyptic number.

34589952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34589952 is an abundant number, since it is smaller than the sum of its proper divisors (65148050).

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

34589952 is a wasteful number, since it uses less digits than its factorization.

34589952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15035 (or 15018 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 34589952 is about 5881.3223002995. The cubic root of 34589952 is about 325.8241866308.

The spelling of 34589952 in words is "thirty-four million, five hundred eighty-nine thousand, nine hundred fifty-two".