34997312 has 56 divisors (see below), whose sum is σ = 79979520. Its totient is φ = 14883840.

The previous prime is 34997311. The next prime is 34997321. The reversal of 34997312 is 21379943.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (34997311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85364 + ... + 85772.

Almost surely, 2^34997312 is an apocalyptic number.

34997312 is a gapful number since it is divisible by the number (32) 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 34997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39989760).

34997312 is an abundant number, since it is smaller than the sum of its proper divisors (44982208).

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

34997312 is a wasteful number, since it uses less digits than its factorization.

With its successor (34997313) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (609).

34997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its digits is 40824, while the sum is 38.

The square root of 34997312 is about 5915.8526012740. The cubic root of 34997312 is about 327.0982568747.

The spelling of 34997312 in words is "thirty-four million, nine hundred ninety-seven thousand, three hundred twelve".