1339891200 has 240 divisors, whose sum is σ = 4919320560. Its totient is φ = 357212160.

The previous prime is 1339891199. The next prime is 1339891213. The reversal of 1339891200 is 21989331.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 343662 + ... + 347538.

It is an arithmetic number, because the mean of its divisors is an integer number (20497169).

Almost surely, 2^1339891200 is an apocalyptic number.

1339891200 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 1339891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459660280).

1339891200 is an abundant number, since it is smaller than the sum of its proper divisors (3579429360).

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

1339891200 is an equidigital number, since it uses as much as digits as its factorization.

1339891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1339891200 is about 36604.5243105275. The cubic root of 1339891200 is about 1102.4439325460.

The spelling of 1339891200 in words is "one billion, three hundred thirty-nine million, eight hundred ninety-one thousand, two hundred".