34913216 has 56 divisors (see below), whose sum is σ = 77236320. Its totient is φ = 15547392.

The previous prime is 34913213. The next prime is 34913227. The reversal of 34913216 is 61231943.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34913213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23405 + ... + 24851.

It is an arithmetic number, because the mean of its divisors is an integer number (1379220).

Almost surely, 2^34913216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38618160).

34913216 is an abundant number, since it is smaller than the sum of its proper divisors (42323104).

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

34913216 is a wasteful number, since it uses less digits than its factorization.

34913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1491 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 34913216 is about 5908.7406441644. The cubic root of 34913216 is about 326.8360489520.

The spelling of 34913216 in words is "thirty-four million, nine hundred thirteen thousand, two hundred sixteen".