34032960 has 280 divisors, whose sum is σ = 131664456. Its totient is φ = 8294400.

The previous prime is 34032959. The next prime is 34032967. The reversal of 34032960 is 6923043.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 28387584 = 2376^2 + 5328^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34032967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336910 + ... + 337010.

Almost surely, 2^34032960 is an apocalyptic number.

34032960 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 34032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65832228).

34032960 is an abundant number, since it is smaller than the sum of its proper divisors (97631496).

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

34032960 is a wasteful number, since it uses less digits than its factorization.

34032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34032960 is about 5833.7775068989. Note that the first 3 decimals coincide. The cubic root of 34032960 is about 324.0658302451.

The spelling of 34032960 in words is "thirty-four million, thirty-two thousand, nine hundred sixty".