1338852540 has 96 divisors (see below), whose sum is σ = 4007356416. Its totient is φ = 333160960.

The previous prime is 1338852539. The next prime is 1338852553. The reversal of 1338852540 is 452588331.

It is a super-2 number, since 2×1338852540² = 3585052247728903200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44749 + ... + 68411.

It is an arithmetic number, because the mean of its divisors is an integer number (41743296).

Almost surely, 2^1338852540 is an apocalyptic number.

1338852540 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 1338852540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003678208).

1338852540 is an abundant number, since it is smaller than the sum of its proper divisors (2668503876).

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

1338852540 is a wasteful number, since it uses less digits than its factorization.

1338852540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23739 (or 23737 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1338852540 is about 36590.3339695062. Note that the first 3 decimals coincide. The cubic root of 1338852540 is about 1102.1589938833.

The spelling of 1338852540 in words is "one billion, three hundred thirty-eight million, eight hundred fifty-two thousand, five hundred forty".