1346401100 has 72 divisors (see below), whose sum is σ = 3225918528. Its totient is φ = 483668800.

The previous prime is 1346401099. The next prime is 1346401109. The reversal of 1346401100 is 11046431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1346401109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83927 + ... + 98673.

It is an arithmetic number, because the mean of its divisors is an integer number (44804424).

Almost surely, 2^1346401100 is an apocalyptic number.

1346401100 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 1346401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612959264).

1346401100 is an abundant number, since it is smaller than the sum of its proper divisors (1879517428).

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

1346401100 is a wasteful number, since it uses less digits than its factorization.

1346401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1346401100 is about 36693.3386325093. The cubic root of 1346401100 is about 1104.2264673597.

Adding to 1346401100 its reverse (11046431), we get a palindrome (1357447531).

The spelling of 1346401100 in words is "one billion, three hundred forty-six million, four hundred one thousand, one hundred".