1338253740 has 144 divisors (see below), whose sum is σ = 4266950688. Its totient is φ = 339075072.

The previous prime is 1338253729. The next prime is 1338253793. The reversal of 1338253740 is 473528331.

1338253740 is a `hidden beast` number, since 1 + 3 + 3 + 82 + 537 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1338253695 and 1338253704.

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, 284044 + ... + 288716.

It is an arithmetic number, because the mean of its divisors is an integer number (29631602).

Almost surely, 2^1338253740 is an apocalyptic number.

1338253740 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 1338253740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133475344).

1338253740 is an abundant number, since it is smaller than the sum of its proper divisors (2928696948).

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

1338253740 is a wasteful number, since it uses less digits than its factorization.

1338253740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1338253740 is about 36582.1505655422. The cubic root of 1338253740 is about 1101.9946563378.

The spelling of 1338253740 in words is "one billion, three hundred thirty-eight million, two hundred fifty-three thousand, seven hundred forty".