36819000 has 96 divisors (see below), whose sum is σ = 124478640. Its totient is φ = 9816000.

The previous prime is 36818987. The next prime is 36819007. The reversal of 36819000 is 91863.

It is a super-2 number, since 2×36819000² = 2711277522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36819007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6955 + ... + 11045.

Almost surely, 2^36819000 is an apocalyptic number.

36819000 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 36819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62239320).

36819000 is an abundant number, since it is smaller than the sum of its proper divisors (87659640).

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

36819000 is a wasteful number, since it uses less digits than its factorization.

36819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 36819000 is about 6067.8661817809. The cubic root of 36819000 is about 332.6779344236.

The spelling of 36819000 in words is "thirty-six million, eight hundred nineteen thousand".