1338156288 has 324 divisors, whose sum is σ = 4664980320. Its totient is φ = 381459456.

The previous prime is 1338156271. The next prime is 1338156289. The reversal of 1338156288 is 8826518331.

1338156288 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 1 + 562 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×1338156288² = 3581324502227877888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338156289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047973 + ... + 3048411.

Almost surely, 2^1338156288 is an apocalyptic number.

1338156288 is a gapful number since it is divisible by the number (18) 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 1338156288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332490160).

1338156288 is an abundant number, since it is smaller than the sum of its proper divisors (3326824032).

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

1338156288 is an frugal number, since it uses more digits than its factorization.

1338156288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 451 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1338156288 is about 36580.8185802341. The cubic root of 1338156288 is about 1101.9679065053.

The spelling of 1338156288 in words is "one billion, three hundred thirty-eight million, one hundred fifty-six thousand, two hundred eighty-eight".