34852032 has 126 divisors (see below), whose sum is σ = 104983788. Its totient is φ = 11477376.

The previous prime is 34852031. The next prime is 34852033. The reversal of 34852032 is 23025843.

It is an interprime number because it is at equal distance from previous prime (34852031) and next prime (34852033).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34851987 and 34852005.

It is not an unprimeable number, because it can be changed into a prime (34852031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419863 + ... + 419945.

Almost surely, 2^34852032 is an apocalyptic number.

34852032 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 34852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52491894).

34852032 is an abundant number, since it is smaller than the sum of its proper divisors (70131756).

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

34852032 is an frugal number, since it uses more digits than its factorization.

34852032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34852032 is about 5903.5609592855. The cubic root of 34852032 is about 326.6450149933.

Adding to 34852032 its reverse (23025843), we get a palindrome (57877875).

The spelling of 34852032 in words is "thirty-four million, eight hundred fifty-two thousand, thirty-two".