34051072 has 44 divisors (see below), whose sum is σ = 74281536. Its totient is φ = 15472640.

The previous prime is 34051067. The next prime is 34051099. The reversal of 34051072 is 27015043.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9753 + ... + 12775.

Almost surely, 2^34051072 is an apocalyptic number.

34051072 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 34051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140768).

34051072 is an abundant number, since it is smaller than the sum of its proper divisors (40230464).

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

34051072 is a wasteful number, since it uses less digits than its factorization.

34051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 34051072 is about 5835.3296393606. The cubic root of 34051072 is about 324.1233082449.

The spelling of 34051072 in words is "thirty-four million, fifty-one thousand, seventy-two".