1349364312 has 128 divisors (see below), whose sum is σ = 3841344000. Its totient is φ = 438721920.

The previous prime is 1349364281. The next prime is 1349364337. The reversal of 1349364312 is 2134639431.

1349364312 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 3 + 643 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 3560139 + ... + 3560517.

It is an arithmetic number, because the mean of its divisors is an integer number (30010500).

Almost surely, 2^1349364312 is an apocalyptic number.

1349364312 is a gapful number since it is divisible by the number (12) 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 1349364312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920672000).

1349364312 is an abundant number, since it is smaller than the sum of its proper divisors (2491979688).

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

1349364312 is a wasteful number, since it uses less digits than its factorization.

1349364312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 1349364312 is about 36733.6945051815. The cubic root of 1349364312 is about 1105.0359486814.

The spelling of 1349364312 in words is "one billion, three hundred forty-nine million, three hundred sixty-four thousand, three hundred twelve".