1349787712 has 168 divisors, whose sum is σ = 3396712536. Its totient is φ = 527450112.

The previous prime is 1349787707. The next prime is 1349787727. The reversal of 1349787712 is 2177879431.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 1320886336 = 5376^2 + 36344^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 4606638 + ... + 4606930.

It is an arithmetic number, because the mean of its divisors is an integer number (20218527).

Almost surely, 2^1349787712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698356268).

1349787712 is an abundant number, since it is smaller than the sum of its proper divisors (2046924824).

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

1349787712 is a wasteful number, since it uses less digits than its factorization.

1349787712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its digits is 592704, while the sum is 49.

The square root of 1349787712 is about 36739.4571544001. The cubic root of 1349787712 is about 1105.1515150235.

The spelling of 1349787712 in words is "one billion, three hundred forty-nine million, seven hundred eighty-seven thousand, seven hundred twelve".