36409800 has 96 divisors (see below), whose sum is σ = 129009600. Its totient is φ = 8321280.

The previous prime is 36409771. The next prime is 36409829. The reversal of 36409800 is 890463.

It is an interprime number because it is at equal distance from previous prime (36409771) and next prime (36409829).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (1343850).

Almost surely, 2^36409800 is an apocalyptic number.

36409800 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 36409800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504800).

36409800 is an abundant number, since it is smaller than the sum of its proper divisors (92599800).

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

36409800 is a wasteful number, since it uses less digits than its factorization.

36409800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 36409800 is about 6034.0533640332. The cubic root of 36409800 is about 331.4408986271.

The spelling of 36409800 in words is "thirty-six million, four hundred nine thousand, eight hundred".