34825536 has 84 divisors (see below), whose sum is σ = 100961952. Its totient is φ = 11476224.

The previous prime is 34825489. The next prime is 34825561. The reversal of 34825536 is 63552843.

It is a happy number.

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 34825536.

It is a congruent number.

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, 59035 + ... + 59621.

It is an arithmetic number, because the mean of its divisors is an integer number (1201928).

Almost surely, 2^34825536 is an apocalyptic number.

34825536 is a gapful number since it is divisible by the number (36) 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 34825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50480976).

34825536 is an abundant number, since it is smaller than the sum of its proper divisors (66136416).

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

34825536 is a wasteful number, since it uses less digits than its factorization.

34825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 695 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 34825536 is about 5901.3164632987. The cubic root of 34825536 is about 326.5622175207.

The spelling of 34825536 in words is "thirty-four million, eight hundred twenty-five thousand, five hundred thirty-six".