34041952 has 48 divisors (see below), whose sum is σ = 77559552. Its totient is φ = 14405760.

The previous prime is 34041947. The next prime is 34041967. The reversal of 34041952 is 25914043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34041952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17677 + ... + 19507.

It is an arithmetic number, because the mean of its divisors is an integer number (1615824).

Almost surely, 2^34041952 is an apocalyptic number.

34041952 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 34041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38779776).

34041952 is an abundant number, since it is smaller than the sum of its proper divisors (43517600).

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

34041952 is a wasteful number, since it uses less digits than its factorization.

34041952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 34041952 is about 5834.5481401733. The cubic root of 34041952 is about 324.0943686908.

Adding to 34041952 its reverse (25914043), we get a palindrome (59955995).

It can be divided in two parts, 3404 and 1952, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 34041952 in words is "thirty-four million, forty-one thousand, nine hundred fifty-two".