1386156800 has 108 divisors (see below), whose sum is σ = 3921217776. Its totient is φ = 475238400.

The previous prime is 1386156781. The next prime is 1386156803. The reversal of 1386156800 is 86516831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1386156803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29330 + ... + 60270.

It is an arithmetic number, because the mean of its divisors is an integer number (36307572).

Almost surely, 2^1386156800 is an apocalyptic number.

1386156800 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 1386156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960608888).

1386156800 is an abundant number, since it is smaller than the sum of its proper divisors (2535060976).

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

1386156800 is an equidigital number, since it uses as much as digits as its factorization.

1386156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30974 (or 30955 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1386156800 is about 37231.1267624282. The cubic root of 1386156800 is about 1114.9895231174.

The spelling of 1386156800 in words is "one billion, three hundred eighty-six million, one hundred fifty-six thousand, eight hundred".