36894000 has 320 divisors, whose sum is σ = 142990848. Its totient is φ = 8064000.

The previous prime is 36893977. The next prime is 36894079. The reversal of 36894000 is 49863.

It is a super-2 number, since 2×36894000² = 2722334472000000, 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857979 + ... + 858021.

Almost surely, 2^36894000 is an apocalyptic number.

36894000 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 36894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

36894000 is an abundant number, since it is smaller than the sum of its proper divisors (106096848).

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

36894000 is a wasteful number, since it uses less digits than its factorization.

36894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

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

The square root of 36894000 is about 6074.0431345192. The cubic root of 36894000 is about 332.9036686249.

The spelling of 36894000 in words is "thirty-six million, eight hundred ninety-four thousand".