1388113920 has 312 divisors, whose sum is σ = 5106072816. Its totient is φ = 347602944.

The previous prime is 1388113879. The next prime is 1388113931. The reversal of 1388113920 is 293118831.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133219 + ... + 3133661.

It is an arithmetic number, because the mean of its divisors is an integer number (16365618).

Almost surely, 2^1388113920 is an apocalyptic number.

1388113920 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 1388113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553036408).

1388113920 is an abundant number, since it is smaller than the sum of its proper divisors (3717958896).

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

1388113920 is a wasteful number, since it uses less digits than its factorization.

1388113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1388113920 is about 37257.4008755308. The cubic root of 1388113920 is about 1115.5140289781.

The spelling of 1388113920 in words is "one billion, three hundred eighty-eight million, one hundred thirteen thousand, nine hundred twenty".