34464672 has 216 divisors, whose sum is σ = 115026912. Its totient is φ = 9757440.

The previous prime is 34464667. The next prime is 34464691. The reversal of 34464672 is 27646443.

34464672 is a `hidden beast` number, since 3 + 4 + 4 + 646 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801483 + ... + 801525.

It is an arithmetic number, because the mean of its divisors is an integer number (532532).

Almost surely, 2^34464672 is an apocalyptic number.

34464672 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 34464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456).

34464672 is an abundant number, since it is smaller than the sum of its proper divisors (80562240).

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

34464672 is a wasteful number, since it uses less digits than its factorization.

34464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

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

The square root of 34464672 is about 5870.6619728954. The cubic root of 34464672 is about 325.4303474598.

It can be divided in two parts, 3446 and 4672, that added together give a palindrome (8118).

The spelling of 34464672 in words is "thirty-four million, four hundred sixty-four thousand, six hundred seventy-two".