36379800 has 96 divisors (see below), whose sum is σ = 125326800. Its totient is φ = 9699840.

The previous prime is 36379799. The next prime is 36379817. The reversal of 36379800 is 897363.

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

It is a congruent number.

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, 2032 + ... + 8768.

Almost surely, 2^36379800 is an apocalyptic number.

36379800 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 36379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62663400).

36379800 is an abundant number, since it is smaller than the sum of its proper divisors (88947000).

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

36379800 is a wasteful number, since it uses less digits than its factorization.

36379800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 36379800 is about 6031.5669605833. The cubic root of 36379800 is about 331.3498429302.

The spelling of 36379800 in words is "thirty-six million, three hundred seventy-nine thousand, eight hundred".