1338410820 has 48 divisors (see below), whose sum is σ = 3749699520. Its totient is φ = 356704896.

The previous prime is 1338410809. The next prime is 1338410837. The reversal of 1338410820 is 280148331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119626 + ... + 130334.

It is an arithmetic number, because the mean of its divisors is an integer number (78118740).

Almost surely, 2^1338410820 is an apocalyptic number.

1338410820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338410820 is an abundant number, since it is smaller than the sum of its proper divisors (2411288700).

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

1338410820 is a wasteful number, since it uses less digits than its factorization.

1338410820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12804 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1338410820 is about 36584.2974512290. The cubic root of 1338410820 is about 1102.0377708691.

The spelling of 1338410820 in words is "one billion, three hundred thirty-eight million, four hundred ten thousand, eight hundred twenty".