36212400 has 240 divisors, whose sum is σ = 147609600. Its totient is φ = 8259840.

The previous prime is 36212383. The next prime is 36212417. The reversal of 36212400 is 421263.

It is a happy number.

36212400 is a `hidden beast` number, since 3 + 621 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36212383) and next prime (36212417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36212400² = 2622675827520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75361 + ... + 75839.

It is an arithmetic number, because the mean of its divisors is an integer number (615040).

Almost surely, 2^36212400 is an apocalyptic number.

36212400 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 36212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73804800).

36212400 is an abundant number, since it is smaller than the sum of its proper divisors (111397200).

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

36212400 is a wasteful number, since it uses less digits than its factorization.

36212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

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

The square root of 36212400 is about 6017.6739692343. The cubic root of 36212400 is about 330.8408309727.

Adding to 36212400 its reverse (421263), we get a palindrome (36633663).

The spelling of 36212400 in words is "thirty-six million, two hundred twelve thousand, four hundred".