1349271000 has 768 divisors, whose sum is σ = 5975424000. Its totient is φ = 275616000.

The previous prime is 1349270981. The next prime is 1349271013. The reversal of 1349271000 is 1729431.

It is a super-3 number, since 3×1349271000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 22868971 + ... + 22869029.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2^1349271000 is an apocalyptic number.

1349271000 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 1349271000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712000).

1349271000 is an abundant number, since it is smaller than the sum of its proper divisors (4626153000).

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

1349271000 is a wasteful number, since it uses less digits than its factorization.

1349271000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1349271000 is about 36732.4243686692. The cubic root of 1349271000 is about 1105.0104760717.

The spelling of 1349271000 in words is "one billion, three hundred forty-nine million, two hundred seventy-one thousand".