1388331900 has 432 divisors, whose sum is σ = 4954127360. Its totient is φ = 335923200.

The previous prime is 1388331887. The next prime is 1388331929. The reversal of 1388331900 is 91338831.

It is a super-2 number, since 2×1388331900² = 3854930929115220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14312652 + ... + 14312748.

Almost surely, 2^1388331900 is an apocalyptic number.

1388331900 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 1388331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477063680).

1388331900 is an abundant number, since it is smaller than the sum of its proper divisors (3565795460).

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

1388331900 is a wasteful number, since it uses less digits than its factorization.

1388331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1388331900 is about 37260.3260855296. The cubic root of 1388331900 is about 1115.5724168423.

The spelling of 1388331900 in words is "one billion, three hundred eighty-eight million, three hundred thirty-one thousand, nine hundred".