1338831840 has 96 divisors (see below), whose sum is σ = 4400718336. Its totient is φ = 341496320.

The previous prime is 1338831833. The next prime is 1338831847. The reversal of 1338831840 is 481388331.

It is an interprime number because it is at equal distance from previous prime (1338831833) and next prime (1338831847).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338831847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49596 + ... + 71675.

It is an arithmetic number, because the mean of its divisors is an integer number (45840816).

Almost surely, 2^1338831840 is an apocalyptic number.

1338831840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338831840 is an abundant number, since it is smaller than the sum of its proper divisors (3061886496).

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

1338831840 is a wasteful number, since it uses less digits than its factorization.

1338831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121312 (or 121304 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1338831840 is about 36590.0511068241. The cubic root of 1338831840 is about 1102.1533136937.

The spelling of 1338831840 in words is "one billion, three hundred thirty-eight million, eight hundred thirty-one thousand, eight hundred forty".