1338415100 has 144 divisors (see below), whose sum is σ = 3532273920. Its totient is φ = 433843200.

The previous prime is 1338415073. The next prime is 1338415121. The reversal of 1338415100 is 15148331.

It is a self number, because there is not a number n which added to its sum of digits gives 1338415100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353417 + ... + 357183.

It is an arithmetic number, because the mean of its divisors is an integer number (24529680).

Almost surely, 2^1338415100 is an apocalyptic number.

1338415100 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 1338415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766136960).

1338415100 is an abundant number, since it is smaller than the sum of its proper divisors (2193858820).

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

1338415100 is a wasteful number, since it uses less digits than its factorization.

1338415100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1338415100 is about 36584.3559462238. The cubic root of 1338415100 is about 1102.0389455748.

The spelling of 1338415100 in words is "one billion, three hundred thirty-eight million, four hundred fifteen thousand, one hundred".