638633800 has 48 divisors (see below), whose sum is σ = 1696944960. Its totient is φ = 218959680.

The previous prime is 638633797. The next prime is 638633839. The reversal of 638633800 is 8336836.

It is a self number, because there is not a number n which added to its sum of digits gives 638633800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226684 + ... + 229483.

It is an arithmetic number, because the mean of its divisors is an integer number (35353020).

Almost surely, 2^638633800 is an apocalyptic number.

It is an amenable number.

638633800 is an abundant number, since it is smaller than the sum of its proper divisors (1058311160).

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

638633800 is a wasteful number, since it uses less digits than its factorization.

638633800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456190 (or 456181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 638633800 is about 25271.2049574214. The cubic root of 638633800 is about 861.1602331865.

It can be divided in two parts, 6386 and 33800, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 638633800 in words is "six hundred thirty-eight million, six hundred thirty-three thousand, eight hundred".