34213680 has 240 divisors, whose sum is σ = 125929440. Its totient is φ = 8294400.

The previous prime is 34213651. The next prime is 34213709. The reversal of 34213680 is 8631243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34213651) and next prime (34213709).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560850 + ... + 560910.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 2^34213680 is an apocalyptic number.

34213680 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 34213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

34213680 is an abundant number, since it is smaller than the sum of its proper divisors (91715760).

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

34213680 is a wasteful number, since it uses less digits than its factorization.

34213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34213680 is about 5849.2461052686. The cubic root of 34213680 is about 324.6384302419.

The spelling of 34213680 in words is "thirty-four million, two hundred thirteen thousand, six hundred eighty".