34216560 has 320 divisors, whose sum is σ = 140943360. Its totient is φ = 7464960.

The previous prime is 34216541. The next prime is 34216561. The reversal of 34216560 is 6561243.

34216560 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34216561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468684 + ... + 468756.

It is an arithmetic number, because the mean of its divisors is an integer number (440448).

Almost surely, 2^34216560 is an apocalyptic number.

34216560 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 34216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70471680).

34216560 is an abundant number, since it is smaller than the sum of its proper divisors (106726800).

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

34216560 is a wasteful number, since it uses less digits than its factorization.

34216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34216560 is about 5849.4922856604. The cubic root of 34216560 is about 324.6475390004.

It can be divided in two parts, 342165 and 60, that added together give a square (342225 = 585²).

The spelling of 34216560 in words is "thirty-four million, two hundred sixteen thousand, five hundred sixty".