34152960 has 80 divisors (see below), whose sum is σ = 109207296. Its totient is φ = 9105408.

The previous prime is 34152947. The next prime is 34152997. The reversal of 34152960 is 6925143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5457 + ... + 9903.

Almost surely, 2^34152960 is an apocalyptic number.

34152960 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 34152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54603648).

34152960 is an abundant number, since it is smaller than the sum of its proper divisors (75054336).

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

34152960 is an equidigital number, since it uses as much as digits as its factorization.

34152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 34152960 is about 5844.0533878465. The cubic root of 34152960 is about 324.4462681382.

It can be divided in two parts, 341 and 52960, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 34152960 in words is "thirty-four million, one hundred fifty-two thousand, nine hundred sixty".