34097952 has 48 divisors (see below), whose sum is σ = 102295872. Its totient is φ = 9742080.

The previous prime is 34097941. The next prime is 34097957. The reversal of 34097952 is 25979043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34097952.

It is not an unprimeable number, because it can be changed into a prime (34097957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24699 + ... + 26042.

It is an arithmetic number, because the mean of its divisors is an integer number (2131164).

Almost surely, 2^34097952 is an apocalyptic number.

34097952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34097952 is an abundant number, since it is smaller than the sum of its proper divisors (68197920).

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

34097952 is a wasteful number, since it uses less digits than its factorization.

34097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50761 (or 50753 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 34097952 is about 5839.3451687668. The cubic root of 34097952 is about 324.2719862150.

The spelling of 34097952 in words is "thirty-four million, ninety-seven thousand, nine hundred fifty-two".