34968024 has 160 divisors (see below), whose sum is σ = 120748320. Its totient is φ = 9206784.

The previous prime is 34968019. The next prime is 34968029. The reversal of 34968024 is 42086943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34968019) and next prime (34968029).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34968024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34968029) 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 39 ways as a sum of consecutive naturals, for example, 58672 + ... + 59264.

It is an arithmetic number, because the mean of its divisors is an integer number (754677).

Almost surely, 2^34968024 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 34968024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160).

34968024 is an abundant number, since it is smaller than the sum of its proper divisors (85780296).

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

34968024 is a wasteful number, since it uses less digits than its factorization.

34968024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34968024 is about 5913.3767003295. The cubic root of 34968024 is about 327.0069857947.

The spelling of 34968024 in words is "thirty-four million, nine hundred sixty-eight thousand, twenty-four".