1387108224 has 192 divisors, whose sum is σ = 4243200000. Its totient is φ = 433714176.

The previous prime is 1387108223. The next prime is 1387108249. The reversal of 1387108224 is 4228017831.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387108223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2779527 + ... + 2780025.

It is an arithmetic number, because the mean of its divisors is an integer number (22100000).

Almost surely, 2^1387108224 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 1387108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121600000).

1387108224 is an abundant number, since it is smaller than the sum of its proper divisors (2856091776).

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

1387108224 is a wasteful number, since it uses less digits than its factorization.

1387108224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1387108224 is about 37243.9018364081. The cubic root of 1387108224 is about 1115.2445652540.

The spelling of 1387108224 in words is "one billion, three hundred eighty-seven million, one hundred eight thousand, two hundred twenty-four".