36434820 has 48 divisors (see below), whose sum is σ = 103178880. Its totient is φ = 9605376.

The previous prime is 36434813. The next prime is 36434831. The reversal of 36434820 is 2843463.

36434820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36434820² = 2654992216864800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (2149560).

Almost surely, 2^36434820 is an apocalyptic number.

36434820 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 36434820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589440).

36434820 is an abundant number, since it is smaller than the sum of its proper divisors (66744060).

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

36434820 is a wasteful number, since it uses less digits than its factorization.

36434820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 36434820 is about 6036.1262412246. The cubic root of 36434820 is about 331.5168008338.

The spelling of 36434820 in words is "thirty-six million, four hundred thirty-four thousand, eight hundred twenty".