36414000 has 360 divisors, whose sum is σ = 154403808. Its totient is φ = 7833600.

The previous prime is 36413987. The next prime is 36414019. The reversal of 36414000 is 41463.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2141992 + ... + 2142008.

Almost surely, 2^36414000 is an apocalyptic number.

36414000 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 36414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77201904).

36414000 is an abundant number, since it is smaller than the sum of its proper divisors (117989808).

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

36414000 is a wasteful number, since it uses less digits than its factorization.

36414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36414000 is about 6034.4013787616. The cubic root of 36414000 is about 331.4536424328.

Adding to 36414000 its reverse (41463), we get a palindrome (36455463).

The spelling of 36414000 in words is "thirty-six million, four hundred fourteen thousand".