34869024 has 72 divisors (see below), whose sum is σ = 101611692. Its totient is φ = 11335680.

The previous prime is 34869019. The next prime is 34869031. The reversal of 34869024 is 42096843.

It is a happy number.

It is a Cunningham number, because it is equal to 5905²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 435600 = 5868^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 34869024.

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, 10332 + ... + 13284.

Almost surely, 2^34869024 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 34869024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50805846).

34869024 is an abundant number, since it is smaller than the sum of its proper divisors (66742668).

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

34869024 is a wasteful number, since it uses less digits than its factorization.

34869024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2999 counting only the distinct ones).

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

The square root of 34869024 is about 5904.9999153260. Note that the first 4 decimals coincide. The cubic root of 34869024 is about 326.6980912895.

The spelling of 34869024 in words is "thirty-four million, eight hundred sixty-nine thousand, twenty-four".