32803400448 has 864 divisors, whose sum is σ = 123804262400. Its totient is φ = 8291082240.

The previous prime is 32803400407. The next prime is 32803400473. The reversal of 32803400448 is 84400430823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318479565 + ... + 318479667.

Almost surely, 2^32803400448 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 32803400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61902131200).

32803400448 is an abundant number, since it is smaller than the sum of its proper divisors (91000861952).

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

32803400448 is a wasteful number, since it uses less digits than its factorization.

32803400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 32803400448 in words is "thirty-two billion, eight hundred three million, four hundred thousand, four hundred forty-eight".