1338016000 has 72 divisors (see below), whose sum is σ = 3333244824. Its totient is φ = 535193600.

The previous prime is 1338015979. The next prime is 1338016003. The reversal of 1338016000 is 6108331.

It can be written as a sum of positive squares in 4 ways, for example, as 237899776 + 1100116224 = 15424^2 + 33168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338016003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11094 + ... + 52906.

It is an arithmetic number, because the mean of its divisors is an integer number (46295067).

Almost surely, 2^1338016000 is an apocalyptic number.

1338016000 is a gapful number since it is divisible by the number (10) 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 1338016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666622412).

1338016000 is an abundant number, since it is smaller than the sum of its proper divisors (1995228824).

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

1338016000 is an frugal number, since it uses more digits than its factorization.

1338016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41844 (or 41820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1338016000 is about 36578.9010223107. The cubic root of 1338016000 is about 1101.9293962362.

The spelling of 1338016000 in words is "one billion, three hundred thirty-eight million, sixteen thousand".