1311739380 has 384 divisors, whose sum is σ = 5007744000. Its totient is φ = 278249472.

The previous prime is 1311739337. The next prime is 1311739411. The reversal of 1311739380 is 839371131.

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 127 ways as a sum of consecutive naturals, for example, 8803546 + ... + 8803694.

It is an arithmetic number, because the mean of its divisors is an integer number (13041000).

Almost surely, 2^1311739380 is an apocalyptic number.

1311739380 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 1311739380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503872000).

1311739380 is an abundant number, since it is smaller than the sum of its proper divisors (3696004620).

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

1311739380 is a wasteful number, since it uses less digits than its factorization.

1311739380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1311739380 is about 36217.9427908323. The cubic root of 1311739380 is about 1094.6682425247.

The spelling of 1311739380 in words is "one billion, three hundred eleven million, seven hundred thirty-nine thousand, three hundred eighty".