1346484000 has 96 divisors (see below), whose sum is σ = 4411120896. Its totient is φ = 359059200.

The previous prime is 1346483969. The next prime is 1346484011. The reversal of 1346484000 is 4846431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44104 + ... + 68103.

It is an arithmetic number, because the mean of its divisors is an integer number (45949176).

Almost surely, 2^1346484000 is an apocalyptic number.

1346484000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346484000 is an abundant number, since it is smaller than the sum of its proper divisors (3064636896).

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

1346484000 is a wasteful number, since it uses less digits than its factorization.

1346484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235 (or 112217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1346484000 is about 36694.4682479526. The cubic root of 1346484000 is about 1104.2491298722.

The spelling of 1346484000 in words is "one billion, three hundred forty-six million, four hundred eighty-four thousand".