34644672 has 140 divisors (see below), whose sum is σ = 105847896. Its totient is φ = 11197440.

The previous prime is 34644671. The next prime is 34644677. The reversal of 34644672 is 27644643.

34644672 is a `hidden beast` number, since 3 + 4 + 644 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34644671) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 212463 + ... + 212625.

Almost surely, 2^34644672 is an apocalyptic number.

34644672 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 34644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923948).

34644672 is an abundant number, since it is smaller than the sum of its proper divisors (71203224).

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

34644672 is a wasteful number, since it uses less digits than its factorization.

34644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 34644672 is about 5885.9724769999. The cubic root of 34644672 is about 325.9959099691.

The spelling of 34644672 in words is "thirty-four million, six hundred forty-four thousand, six hundred seventy-two".