1338024960 has 176 divisors, whose sum is σ = 4755590400. Its totient is φ = 356769792.

The previous prime is 1338024953. The next prime is 1338025019. The reversal of 1338024960 is 694208331.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 133401 + ... + 143079.

It is an arithmetic number, because the mean of its divisors is an integer number (27020400).

Almost surely, 2^1338024960 is an apocalyptic number.

1338024960 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 1338024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377795200).

1338024960 is an abundant number, since it is smaller than the sum of its proper divisors (3417565440).

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

1338024960 is an equidigital number, since it uses as much as digits as its factorization.

1338024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1338024960 is about 36579.0234970809. The cubic root of 1338024960 is about 1101.9318559141.

The spelling of 1338024960 in words is "one billion, three hundred thirty-eight million, twenty-four thousand, nine hundred sixty".