34536528 has 120 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 10056960.

The previous prime is 34536521. The next prime is 34536583. The reversal of 34536528 is 82563543.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34536492 and 34536501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34536521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35083 + ... + 36053.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^34536528 is an apocalyptic number.

34536528 is a gapful number since it is divisible by the number (38) 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 34536528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

34536528 is an abundant number, since it is smaller than the sum of its proper divisors (75143952).

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

34536528 is a wasteful number, since it uses less digits than its factorization.

34536528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

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

The square root of 34536528 is about 5876.7787094632. The cubic root of 34536528 is about 325.6563556122.

The spelling of 34536528 in words is "thirty-four million, five hundred thirty-six thousand, five hundred twenty-eight".