34636672 has 128 divisors (see below), whose sum is σ = 86169600. Its totient is φ = 13547520.

The previous prime is 34636631. The next prime is 34636687. The reversal of 34636672 is 27663643.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (108864) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805483 + ... + 805525.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^34636672 is an apocalyptic number.

34636672 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 34636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084800).

34636672 is an abundant number, since it is smaller than the sum of its proper divisors (51532928).

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

34636672 is a wasteful number, since it uses less digits than its factorization.

34636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 108864, while the sum is 37.

The square root of 34636672 is about 5885.2928559248. The cubic root of 34636672 is about 325.9708155088.

The spelling of 34636672 in words is "thirty-four million, six hundred thirty-six thousand, six hundred seventy-two".