34799952 has 80 divisors (see below), whose sum is σ = 103868352. Its totient is φ = 9922560.

The previous prime is 34799929. The next prime is 34799953. The reversal of 34799952 is 25999743.

It is a super-2 number, since 2×34799952² = 2422073318404608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799953) 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 15 ways as a sum of consecutive naturals, for example, 7038 + ... + 10914.

Almost surely, 2^34799952 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 34799952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51934176).

34799952 is an abundant number, since it is smaller than the sum of its proper divisors (69068400).

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

34799952 is a wasteful number, since it uses less digits than its factorization.

34799952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3910 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 34799952 is about 5899.1484131186. The cubic root of 34799952 is about 326.4822300990.

It can be divided in two parts, 3479 and 9952, that added together give a palindrome (13431).

The spelling of 34799952 in words is "thirty-four million, seven hundred ninety-nine thousand, nine hundred fifty-two".