36312000 has 224 divisors, whose sum is σ = 128381760. Its totient is φ = 9011200.

The previous prime is 36311993. The next prime is 36312007. The reversal of 36312000 is 21363.

It is an interprime number because it is at equal distance from previous prime (36311993) and next prime (36312007).

It is a super-2 number, since 2×36312000² = 2637122688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36312007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407956 + ... + 408044.

Almost surely, 2^36312000 is an apocalyptic number.

36312000 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 36312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64190880).

36312000 is an abundant number, since it is smaller than the sum of its proper divisors (92069760).

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

36312000 is a wasteful number, since it uses less digits than its factorization.

36312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 36312000 is about 6025.9439094635. The cubic root of 36312000 is about 331.1438724930.

Adding to 36312000 its reverse (21363), we get a palindrome (36333363).

The spelling of 36312000 in words is "thirty-six million, three hundred twelve thousand".