34312616 has 48 divisors (see below), whose sum is σ = 71503740. Its totient is φ = 15344640.

The previous prime is 34312601. The next prime is 34312627. The reversal of 34312616 is 61621343.

It can be written as a sum of positive squares in 6 ways, for example, as 29268100 + 5044516 = 5410^2 + 2246^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142256 + ... + 142496.

Almost surely, 2^34312616 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 34312616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35751870).

34312616 is an abundant number, since it is smaller than the sum of its proper divisors (37191124).

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

34312616 is a wasteful number, since it uses less digits than its factorization.

34312616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 293 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 34312616 is about 5857.6971584403. The cubic root of 34312616 is about 324.9510490377.

Adding to 34312616 its reverse (61621343), we get a palindrome (95933959).

The spelling of 34312616 in words is "thirty-four million, three hundred twelve thousand, six hundred sixteen".