34193952 has 72 divisors (see below), whose sum is σ = 104730444. Its totient is φ = 10520064.

The previous prime is 34193947. The next prime is 34193963. The reversal of 34193952 is 25939143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34152336 + 41616 = 5844^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 823 + ... + 8310.

Almost surely, 2^34193952 is an apocalyptic number.

34193952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34193952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52365222).

34193952 is an abundant number, since it is smaller than the sum of its proper divisors (70536492).

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

34193952 is a wasteful number, since it uses less digits than its factorization.

34193952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9151 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 34193952 is about 5847.5594909329. The cubic root of 34193952 is about 324.5760214987.

The spelling of 34193952 in words is "thirty-four million, one hundred ninety-three thousand, nine hundred fifty-two".