1349073792 has 192 divisors, whose sum is σ = 4392984960. Its totient is φ = 408706560.

The previous prime is 1349073773. The next prime is 1349073797. The reversal of 1349073792 is 2973709431.

1349073792 is a `hidden beast` number, since 1 + 3 + 490 + 73 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1349073792² = 3640000192522518528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349073797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340173 + ... + 344115.

It is an arithmetic number, because the mean of its divisors is an integer number (22880130).

Almost surely, 2^1349073792 is an apocalyptic number.

1349073792 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 1349073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196492480).

1349073792 is an abundant number, since it is smaller than the sum of its proper divisors (3043911168).

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

1349073792 is an equidigital number, since it uses as much as digits as its factorization.

1349073792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1349073792 is about 36729.7398847310. The cubic root of 1349073792 is about 1104.9566377339.

The spelling of 1349073792 in words is "one billion, three hundred forty-nine million, seventy-three thousand, seven hundred ninety-two".