34164960 has 96 divisors (see below), whose sum is σ = 108773280. Its totient is φ = 9013248.

The previous prime is 34164947. The next prime is 34164961. The reversal of 34164960 is 6946143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51994 + ... + 52646.

It is an arithmetic number, because the mean of its divisors is an integer number (1133055).

Almost surely, 2^34164960 is an apocalyptic number.

34164960 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 34164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54386640).

34164960 is an abundant number, since it is smaller than the sum of its proper divisors (74608320).

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

34164960 is a wasteful number, since it uses less digits than its factorization.

34164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34164960 is about 5845.0799823441. The cubic root of 34164960 is about 324.4842628861.

The spelling of 34164960 in words is "thirty-four million, one hundred sixty-four thousand, nine hundred sixty".