34431936 has 224 divisors, whose sum is σ = 121139712. Its totient is φ = 8355840.

The previous prime is 34431907. The next prime is 34431937. The reversal of 34431936 is 63913443.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34431897 and 34431906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251260 + ... + 251396.

Almost surely, 2^34431936 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 34431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569856).

34431936 is an abundant number, since it is smaller than the sum of its proper divisors (86707776).

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

34431936 is a wasteful number, since it uses less digits than its factorization.

34431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 34431936 is about 5867.8732092642. The cubic root of 34431936 is about 325.3272789939.

The spelling of 34431936 in words is "thirty-four million, four hundred thirty-one thousand, nine hundred thirty-six".