1387674288 has 320 divisors, whose sum is σ = 5349657600. Its totient is φ = 332605440.

The previous prime is 1387674287. The next prime is 1387674311. The reversal of 1387674288 is 8824767831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1387674287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430828 + ... + 434036.

It is an arithmetic number, because the mean of its divisors is an integer number (16717680).

Almost surely, 2^1387674288 is an apocalyptic number.

1387674288 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 1387674288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674828800).

1387674288 is an abundant number, since it is smaller than the sum of its proper divisors (3961983312).

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

1387674288 is a wasteful number, since it uses less digits than its factorization.

1387674288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3245 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 1387674288 is about 37251.5004798464. The cubic root of 1387674288 is about 1115.3962510736.

The spelling of 1387674288 in words is "one billion, three hundred eighty-seven million, six hundred seventy-four thousand, two hundred eighty-eight".