36828446400 has 1008 divisors, whose sum is σ = 149995542528. Its totient is φ = 8515584000.

The previous prime is 36828446393. The next prime is 36828446443. The reversal of 36828446400 is 464482863.

36828446400 is a `hidden beast` number, since 36 + 82 + 84 + 464 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174542295 + ... + 174542505.

Almost surely, 2^36828446400 is an apocalyptic number.

36828446400 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 36828446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74997771264).

36828446400 is an abundant number, since it is smaller than the sum of its proper divisors (113167096128).

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

36828446400 is a wasteful number, since it uses less digits than its factorization.

36828446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 36828446400 in words is "thirty-six billion, eight hundred twenty-eight million, four hundred forty-six thousand, four hundred".