34276320 has 144 divisors (see below), whose sum is σ = 126034272. Its totient is φ = 8432640.

The previous prime is 34276241. The next prime is 34276321. The reversal of 34276320 is 2367243.

34276320 is a `hidden beast` number, since 3 + 4 + 27 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34276320² = 2349732225484800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34276321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17805 + ... + 19635.

It is an arithmetic number, because the mean of its divisors is an integer number (875238).

Almost surely, 2^34276320 is an apocalyptic number.

34276320 is a gapful number since it is divisible by the number (30) 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 34276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63017136).

34276320 is an abundant number, since it is smaller than the sum of its proper divisors (91757952).

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

34276320 is a wasteful number, since it uses less digits than its factorization.

34276320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34276320 is about 5854.5981928737. The cubic root of 34276320 is about 324.8364305113.

It can be divided in two parts, 34276 and 320, that added together give a square (34596 = 186²).

The spelling of 34276320 in words is "thirty-four million, two hundred seventy-six thousand, three hundred twenty".