34101216 has 96 divisors (see below), whose sum is σ = 102967200. Its totient is φ = 10967040.

The previous prime is 34101127. The next prime is 34101227. The reversal of 34101216 is 61210143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24376 + ... + 25736.

It is an arithmetic number, because the mean of its divisors is an integer number (1072575).

Almost surely, 2^34101216 is an apocalyptic number.

34101216 is a gapful number since it is divisible by the number (36) 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 34101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51483600).

34101216 is an abundant number, since it is smaller than the sum of its proper divisors (68865984).

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

34101216 is a wasteful number, since it uses less digits than its factorization.

34101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 34101216 is about 5839.6246454717. The cubic root of 34101216 is about 324.2823327796.

Adding to 34101216 its reverse (61210143), we get a palindrome (95311359).

The spelling of 34101216 in words is "thirty-four million, one hundred one thousand, two hundred sixteen".