1638000800 has 36 divisors (see below), whose sum is σ = 3998771406. Its totient is φ = 655200000.

The previous prime is 1638000781. The next prime is 1638000827. The reversal of 1638000800 is 80008361.

It can be written as a sum of positive squares in 3 ways, for example, as 1586906896 + 51093904 = 39836^2 + 7148^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1638000800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1022951 + ... + 1024550.

Almost surely, 2^1638000800 is an apocalyptic number.

1638000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1638000800 is an abundant number, since it is smaller than the sum of its proper divisors (2360770606).

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

1638000800 is a wasteful number, since it uses less digits than its factorization.

1638000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047521 (or 2047508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1638000800 is about 40472.2225730191. Note that the first 3 decimals coincide. The cubic root of 1638000800 is about 1178.7943253440.

The spelling of 1638000800 in words is "one billion, six hundred thirty-eight million, eight hundred", and thus it is an aban number.