34284960 has 144 divisors (see below), whose sum is σ = 121179240. Its totient is φ = 8816640.

The previous prime is 34284919. The next prime is 34285001. The reversal of 34284960 is 6948243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34284919) and next prime (34285001).

It can be written as a sum of positive squares in 4 ways, for example, as 24324624 + 9960336 = 4932^2 + 3156^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41350 + ... + 42170.

Almost surely, 2^34284960 is an apocalyptic number.

34284960 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 34284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60589620).

34284960 is an abundant number, since it is smaller than the sum of its proper divisors (86894280).

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

34284960 is a wasteful number, since it uses less digits than its factorization.

34284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34284960 is about 5855.3360279321. The cubic root of 34284960 is about 324.8637219570.

The spelling of 34284960 in words is "thirty-four million, two hundred eighty-four thousand, nine hundred sixty".