34000032 has 72 divisors (see below), whose sum is σ = 98134848. Its totient is φ = 10299520.

The previous prime is 34000019. The next prime is 34000061. The reversal of 34000032 is 23000043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 33999981 and 34000017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10153 + ... + 13079.

It is an arithmetic number, because the mean of its divisors is an integer number (1362984).

Almost surely, 2^34000032 is an apocalyptic number.

34000032 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 34000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49067424).

34000032 is an abundant number, since it is smaller than the sum of its proper divisors (64134816).

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

34000032 is a wasteful number, since it uses less digits than its factorization.

34000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 34000032 is about 5830.9546388220. The cubic root of 34000032 is about 323.9612817626.

Adding to 34000032 its reverse (23000043), we get a palindrome (57000075).

The spelling of 34000032 in words is "thirty-four million, thirty-two", and thus it is an aban number and an eban number.