34832952 has 192 divisors, whose sum is σ = 120706560. Its totient is φ = 8812800.

The previous prime is 34832939. The next prime is 34832953. The reversal of 34832952 is 25923843.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34832953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338133 + ... + 338235.

It is an arithmetic number, because the mean of its divisors is an integer number (628680).

Almost surely, 2^34832952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34832952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60353280).

34832952 is an abundant number, since it is smaller than the sum of its proper divisors (85873608).

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

34832952 is a wasteful number, since it uses less digits than its factorization.

34832952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34832952 is about 5901.9447642281. The cubic root of 34832952 is about 326.5853960443.

The spelling of 34832952 in words is "thirty-four million, eight hundred thirty-two thousand, nine hundred fifty-two".