1338031920 has 320 divisors, whose sum is σ = 4628275200. Its totient is φ = 318259200.

The previous prime is 1338031909. The next prime is 1338031943. The reversal of 1338031920 is 291308331.

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 63 ways as a sum of consecutive naturals, for example, 8980006 + ... + 8980154.

It is an arithmetic number, because the mean of its divisors is an integer number (14463360).

Almost surely, 2^1338031920 is an apocalyptic number.

1338031920 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 1338031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314137600).

1338031920 is an abundant number, since it is smaller than the sum of its proper divisors (3290243280).

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

1338031920 is a wasteful number, since it uses less digits than its factorization.

1338031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1338031920 is about 36579.1186334499. The cubic root of 1338031920 is about 1101.9337665492.

The spelling of 1338031920 in words is "one billion, three hundred thirty-eight million, thirty-one thousand, nine hundred twenty".