1388367120 has 160 divisors (see below), whose sum is σ = 4929684480. Its totient is φ = 316638720.

The previous prime is 1388367091. The next prime is 1388367121. The reversal of 1388367120 is 217638831.

It is not an unprimeable number, because it can be changed into a prime (1388367121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1361971 + ... + 1362989.

It is an arithmetic number, because the mean of its divisors is an integer number (30810528).

Almost surely, 2^1388367120 is an apocalyptic number.

1388367120 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 1388367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464842240).

1388367120 is an abundant number, since it is smaller than the sum of its proper divisors (3541317360).

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

1388367120 is a wasteful number, since it uses less digits than its factorization.

1388367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1388367120 is about 37260.7987031948. The cubic root of 1388367120 is about 1115.5818502562.

It can be divided in two parts, 13883 and 67120, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 1388367120 in words is "one billion, three hundred eighty-eight million, three hundred sixty-seven thousand, one hundred twenty".