1386331200 has 420 divisors, whose sum is σ = 5373532560. Its totient is φ = 349608960.

The previous prime is 1386331189. The next prime is 1386331213. The reversal of 1386331200 is 21336831.

It is a happy number.

1386331200 is a `hidden beast` number, since 1 + 3 + 8 + 633 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462119 + ... + 2462681.

Almost surely, 2^1386331200 is an apocalyptic number.

1386331200 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 1386331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686766280).

1386331200 is an abundant number, since it is smaller than the sum of its proper divisors (3987201360).

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

1386331200 is a wasteful number, since it uses less digits than its factorization.

1386331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1386331200 is about 37233.4688150325. The cubic root of 1386331200 is about 1115.0362821416.

The spelling of 1386331200 in words is "one billion, three hundred eighty-six million, three hundred thirty-one thousand, two hundred".