36618400 has 144 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 11566080.

The previous prime is 36618397. The next prime is 36618403. The reversal of 36618400 is 481663.

It is an interprime number because it is at equal distance from previous prime (36618397) and next prime (36618403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36618403) 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, 72549 + ... + 73051.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^36618400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

36618400 is an abundant number, since it is smaller than the sum of its proper divisors (73624544).

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

36618400 is a wasteful number, since it uses less digits than its factorization.

36618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 36618400 is about 6051.3139069131. The cubic root of 36618400 is about 332.0726603438.

The spelling of 36618400 in words is "thirty-six million, six hundred eighteen thousand, four hundred".