1388687100 has 144 divisors (see below), whose sum is σ = 4212563712. Its totient is φ = 352535040.

The previous prime is 1388687099. The next prime is 1388687101. The reversal of 1388687100 is 17868831.

It is an interprime number because it is at equal distance from previous prime (1388687099) and next prime (1388687101).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388687101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2159379 + ... + 2160021.

Almost surely, 2^1388687100 is an apocalyptic number.

1388687100 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 1388687100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106281856).

1388687100 is an abundant number, since it is smaller than the sum of its proper divisors (2823876612).

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

1388687100 is a wasteful number, since it uses less digits than its factorization.

1388687100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1388687100 is about 37265.0922446195. The cubic root of 1388687100 is about 1115.6675472008.

The spelling of 1388687100 in words is "one billion, three hundred eighty-eight million, six hundred eighty-seven thousand, one hundred".