30536736 has 72 divisors (see below), whose sum is σ = 83078352. Its totient is φ = 9820800.

The previous prime is 30536731. The next prime is 30536809. The reversal of 30536736 is 63763503.

30536736 = 1838² + 1839² + ... + 1846².

It is a junction number, because it is equal to n+sod(n) for n = 30536697 and 30536706.

It is not an unprimeable number, because it can be changed into a prime (30536731) 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 11 ways as a sum of consecutive naturals, for example, 92091 + ... + 92421.

It is an arithmetic number, because the mean of its divisors is an integer number (1153866).

Almost surely, 2^30536736 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 30536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41539176).

30536736 is an abundant number, since it is smaller than the sum of its proper divisors (52541616).

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

30536736 is a wasteful number, since it uses less digits than its factorization.

30536736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 30536736 is about 5526.0054288790. The cubic root of 30536736 is about 312.5653785345.

The spelling of 30536736 in words is "thirty million, five hundred thirty-six thousand, seven hundred thirty-six".