1349080320 has 288 divisors, whose sum is σ = 5086126080. Its totient is φ = 298229760.

The previous prime is 1349080307. The next prime is 1349080367. The reversal of 1349080320 is 230809431.

It is a super-2 number, since 2×1349080320² = 3640035419622604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832471 + ... + 834089.

It is an arithmetic number, because the mean of its divisors is an integer number (17660160).

Almost surely, 2^1349080320 is an apocalyptic number.

1349080320 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 1349080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543063040).

1349080320 is an abundant number, since it is smaller than the sum of its proper divisors (3737045760).

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

1349080320 is a wasteful number, since it uses less digits than its factorization.

1349080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1349080320 is about 36729.8287499411. The cubic root of 1349080320 is about 1104.9584199801.

Adding to 1349080320 its reverse (230809431), we get a palindrome (1579889751).

The spelling of 1349080320 in words is "one billion, three hundred forty-nine million, eighty thousand, three hundred twenty".