1386730800 has 960 divisors, whose sum is σ = 6509583360. Its totient is φ = 272056320.

The previous prime is 1386730771. The next prime is 1386730811. The reversal of 1386730800 is 80376831.

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 191 ways as a sum of consecutive naturals, for example, 16707559 + ... + 16707641.

It is an arithmetic number, because the mean of its divisors is an integer number (6780816).

Almost surely, 2^1386730800 is an apocalyptic number.

1386730800 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 1386730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254791680).

1386730800 is an abundant number, since it is smaller than the sum of its proper divisors (5122852560).

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

1386730800 is a wasteful number, since it uses less digits than its factorization.

1386730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

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

The square root of 1386730800 is about 37238.8345682300. The cubic root of 1386730800 is about 1115.1434055800.

The spelling of 1386730800 in words is "one billion, three hundred eighty-six million, seven hundred thirty thousand, eight hundred".