36284774400 has 648 divisors, whose sum is σ = 151258521960. Its totient is φ = 8288501760.

The previous prime is 36284774371. The next prime is 36284774437. The reversal of 36284774400 is 447748263.

36284774400 is a `hidden beast` number, since 3 + 62 + 84 + 77 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22578397 + ... + 22580003.

It is an arithmetic number, because the mean of its divisors is an integer number (233423645).

Almost surely, 2^36284774400 is an apocalyptic number.

36284774400 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 36284774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75629260980).

36284774400 is an abundant number, since it is smaller than the sum of its proper divisors (114973747560).

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

36284774400 is a wasteful number, since it uses less digits than its factorization.

36284774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 36284774400 in words is "thirty-six billion, two hundred eighty-four million, seven hundred seventy-four thousand, four hundred".