34816672 has 24 divisors (see below), whose sum is σ = 74777472. Its totient is φ = 15825600.

The previous prime is 34816657. The next prime is 34816673. The reversal of 34816672 is 27661843.

It is not an unprimeable number, because it can be changed into a prime (34816673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49104 + ... + 49807.

It is an arithmetic number, because the mean of its divisors is an integer number (3115728).

Almost surely, 2^34816672 is an apocalyptic number.

34816672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34816672 is an abundant number, since it is smaller than the sum of its proper divisors (39960800).

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

34816672 is a wasteful number, since it uses less digits than its factorization.

34816672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98932 (or 98924 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 34816672 is about 5900.5653966379. The cubic root of 34816672 is about 326.5345089918.

It can be divided in two parts, 3481 and 6672, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 34816672 in words is "thirty-four million, eight hundred sixteen thousand, six hundred seventy-two".