1346010400 has 108 divisors (see below), whose sum is σ = 3822540498. Its totient is φ = 461475840.

The previous prime is 1346010397. The next prime is 1346010401. The reversal of 1346010400 is 40106431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 960752016 + 385258384 = 30996^2 + 19628^2 .

It is not an unprimeable number, because it can be changed into a prime (1346010401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 22032 + ... + 56368.

Almost surely, 2^1346010400 is an apocalyptic number.

1346010400 is a gapful number since it is divisible by the number (10) 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 1346010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911270249).

1346010400 is an abundant number, since it is smaller than the sum of its proper divisors (2476530098).

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

1346010400 is a wasteful number, since it uses less digits than its factorization.

1346010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34371 (or 34351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1346010400 is about 36688.0143916239. The cubic root of 1346010400 is about 1104.1196485180.

Adding to 1346010400 its reverse (40106431), we get a palindrome (1386116831).

The spelling of 1346010400 in words is "one billion, three hundred forty-six million, ten thousand, four hundred".