34509952 has 32 divisors (see below), whose sum is σ = 69033600. Its totient is φ = 17184000.

The previous prime is 34509931. The next prime is 34509973. The reversal of 34509952 is 25990543.

It is an interprime number because it is at equal distance from previous prime (34509931) and next prime (34509973).

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45577 + ... + 46327.

It is an arithmetic number, because the mean of its divisors is an integer number (2157300).

Almost surely, 2^34509952 is an apocalyptic number.

34509952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34509952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

34509952 is an equidigital number, since it uses as much as digits as its factorization.

34509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 34509952 is about 5874.5171716491. The cubic root of 34509952 is about 325.5728028765.

The spelling of 34509952 in words is "thirty-four million, five hundred nine thousand, nine hundred fifty-two".