34073472 has 64 divisors (see below), whose sum is σ = 91616400. Its totient is φ = 11218944.

The previous prime is 34073467. The next prime is 34073489. The reversal of 34073472 is 27437043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34073472² = 2322002988269568, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 33678 + ... + 34674.

Almost surely, 2^34073472 is an apocalyptic number.

34073472 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 34073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45808200).

34073472 is an abundant number, since it is smaller than the sum of its proper divisors (57542928).

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

34073472 is an equidigital number, since it uses as much as digits as its factorization.

34073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 34073472 is about 5837.2486669663. The cubic root of 34073472 is about 324.1943659260.

The spelling of 34073472 in words is "thirty-four million, seventy-three thousand, four hundred seventy-two".