34857216 has 135 divisors (see below), whose sum is σ = 106534813. Its totient is φ = 11335680.

The previous prime is 34857211. The next prime is 34857233. The reversal of 34857216 is 61275843.

The square root of 34857216 is 5904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 33177600 = 1296^2 + 5760^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34857211) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 850156 + ... + 850196.

Almost surely, 2^34857216 is an apocalyptic number.

34857216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34857216 is the 5904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34857216

34857216 is an abundant number, since it is smaller than the sum of its proper divisors (71677597).

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

34857216 is an frugal number, since it uses more digits than its factorization.

34857216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 34857216 is about 326.6612095900.

Multiplying 34857216 by its sum of digits (36), we get a square (1254859776 = 35424²).

34857216 divided by its sum of digits (36) gives a square (968256 = 984²).

It can be divided in two parts, 3485 and 7216, that added together give a palindrome (10701).

The spelling of 34857216 in words is "thirty-four million, eight hundred fifty-seven thousand, two hundred sixteen".