1349339796 has 240 divisors, whose sum is σ = 4291647360. Its totient is φ = 361117440.

The previous prime is 1349339749. The next prime is 1349339819. The reversal of 1349339796 is 6979339431.

It is a Smith number, since the sum of its digits (54) 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 (54).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7454826 + ... + 7455006.

It is an arithmetic number, because the mean of its divisors is an integer number (17881864).

Almost surely, 2^1349339796 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 1349339796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145823680).

1349339796 is an abundant number, since it is smaller than the sum of its proper divisors (2942307564).

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

1349339796 is a wasteful number, since it uses less digits than its factorization.

1349339796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The square root of 1349339796 is about 36733.3608045874. The cubic root of 1349339796 is about 1105.0292563386.

The spelling of 1349339796 in words is "one billion, three hundred forty-nine million, three hundred thirty-nine thousand, seven hundred ninety-six".