1387116324 has 72 divisors (see below), whose sum is σ = 3836300832. Its totient is φ = 419105280.

The previous prime is 1387116307. The next prime is 1387116383. The reversal of 1387116324 is 4236117831.

It is a happy number.

1387116324 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 11 + 632 + 4 = 666.

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

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, 134827 + ... + 144749.

It is an arithmetic number, because the mean of its divisors is an integer number (53281956).

Almost surely, 2^1387116324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387116324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918150416).

1387116324 is an abundant number, since it is smaller than the sum of its proper divisors (2449184508).

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

1387116324 is a wasteful number, since it uses less digits than its factorization.

1387116324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10297 (or 10292 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1387116324 is about 37244.0105788837. The cubic root of 1387116324 is about 1115.2467360684.

It can be divided in two parts, 1387 and 116324, that added together give a palindrome (117711).

The spelling of 1387116324 in words is "one billion, three hundred eighty-seven million, one hundred sixteen thousand, three hundred twenty-four".