1349678052 has 60 divisors (see below), whose sum is σ = 3533565420. Its totient is φ = 449224704.

The previous prime is 1349678039. The next prime is 1349678069. The reversal of 1349678052 is 2508769431.

1349678052 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 290566116 + 1059111936 = 17046^2 + 32544^2 .

1349678052 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1349677989 and 1349678007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246448 + ... + 251864.

It is an arithmetic number, because the mean of its divisors is an integer number (58892757).

It is a 1-persistent number, because it is pandigital, but 2⋅1349678052 = 2699356104 is not.

It is a vampire number, since it can be written as 13842 ⋅ 97506 (with its own digits).

Almost surely, 2^1349678052 is an apocalyptic number.

1349678052 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 1349678052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766782710).

1349678052 is an abundant number, since it is smaller than the sum of its proper divisors (2183887368).

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

1349678052 is a wasteful number, since it uses less digits than its factorization.

1349678052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1349678052 is about 36737.9647231580. The cubic root of 1349678052 is about 1105.1215858240.

The spelling of 1349678052 in words is "one billion, three hundred forty-nine million, six hundred seventy-eight thousand, fifty-two".