36034920 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 9542016.

The previous prime is 36034919. The next prime is 36034937. The reversal of 36034920 is 2943063.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71389 + ... + 71891.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^36034920 is an apocalyptic number.

36034920 is a gapful number since it is divisible by the number (30) 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 36034920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

36034920 is an abundant number, since it is smaller than the sum of its proper divisors (81901080).

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

36034920 is a wasteful number, since it uses less digits than its factorization.

36034920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36034920 is about 6002.9092946670. The cubic root of 36034920 is about 330.2994527026.

Adding to 36034920 its reverse (2943063), we get a palindrome (38977983).

The spelling of 36034920 in words is "thirty-six million, thirty-four thousand, nine hundred twenty".