34332672 has 112 divisors (see below), whose sum is σ = 100657152. Its totient is φ = 10321920.

The previous prime is 34332667. The next prime is 34332713. The reversal of 34332672 is 27623343.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 270273 + ... + 270399.

Almost surely, 2^34332672 is an apocalyptic number.

34332672 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 34332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50328576).

34332672 is an abundant number, since it is smaller than the sum of its proper divisors (66324480).

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

34332672 is a wasteful number, since it uses less digits than its factorization.

34332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 18144, while the sum is 30.

The square root of 34332672 is about 5859.4088439023. The cubic root of 34332672 is about 325.0143488734.

It can be divided in two parts, 3433 and 2672, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 34332672 in words is "thirty-four million, three hundred thirty-two thousand, six hundred seventy-two".