34690824 has 72 divisors (see below), whose sum is σ = 109304910. Its totient is φ = 9910656.

The previous prime is 34690823. The next prime is 34690847. The reversal of 34690824 is 42809643.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29354724 + 5336100 = 5418^2 + 2310^2 .

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 not an unprimeable number, because it can be changed into a prime (34690823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1389 + ... + 8444.

Almost surely, 2^34690824 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 34690824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54652455).

34690824 is an abundant number, since it is smaller than the sum of its proper divisors (74614086).

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

34690824 is a wasteful number, since it uses less digits than its factorization.

34690824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9845 counting only the distinct ones).

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

The square root of 34690824 is about 5889.8916798189. The cubic root of 34690824 is about 326.1406045345.

The spelling of 34690824 in words is "thirty-four million, six hundred ninety thousand, eight hundred twenty-four".