34218960 has 80 divisors (see below), whose sum is σ = 112332096. Its totient is φ = 8587264.

The previous prime is 34218953. The next prime is 34218967. The reversal of 34218960 is 6981243.

It is an interprime number because it is at equal distance from previous prime (34218953) and next prime (34218967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34218967) 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, 114 + ... + 8273.

Almost surely, 2^34218960 is an apocalyptic number.

34218960 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 34218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56166048).

34218960 is an abundant number, since it is smaller than the sum of its proper divisors (78113136).

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

34218960 is a wasteful number, since it uses less digits than its factorization.

34218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34218960 is about 5849.6974280727. The cubic root of 34218960 is about 324.6551292420.

The spelling of 34218960 in words is "thirty-four million, two hundred eighteen thousand, nine hundred sixty".