34100032 has 28 divisors (see below), whose sum is σ = 69246496. Its totient is φ = 16652160.

The previous prime is 34100029. The next prime is 34100039. The reversal of 34100032 is 23000143.

It is a junction number, because it is equal to n+sod(n) for n = 34099985 and 34100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100039) 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 3 ways as a sum of consecutive naturals, for example, 3444 + ... + 8947.

Almost surely, 2^34100032 is an apocalyptic number.

34100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34100032 is an abundant number, since it is smaller than the sum of its proper divisors (35146464).

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

34100032 is a wasteful number, since it uses less digits than its factorization.

34100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34100032 is about 5839.5232682129. The cubic root of 34100032 is about 324.2785796903.

Adding to 34100032 its reverse (23000143), we get a palindrome (57100175).

The spelling of 34100032 in words is "thirty-four million, one hundred thousand, thirty-two".