34433672 has 96 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 13095936.

The previous prime is 34433647. The next prime is 34433713. The reversal of 34433672 is 27633443.

It can be written as a sum of positive squares in 4 ways, for example, as 18957316 + 15476356 = 4354^2 + 3934^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147668 + ... + 147900.

Almost surely, 2^34433672 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 34433672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

34433672 is an abundant number, since it is smaller than the sum of its proper divisors (49595728).

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

34433672 is a wasteful number, since it uses less digits than its factorization.

34433672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its digits is 36288, while the sum is 32.

The square root of 34433672 is about 5868.0211315230. The cubic root of 34433672 is about 325.3327463858.

The spelling of 34433672 in words is "thirty-four million, four hundred thirty-three thousand, six hundred seventy-two".