1346672000 has 128 divisors (see below), whose sum is σ = 3545830080. Its totient is φ = 506880000.

The previous prime is 1346671993. The next prime is 1346672027. The reversal of 1346672000 is 2766431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269525 + ... + 274475.

Almost surely, 2^1346672000 is an apocalyptic number.

1346672000 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 1346672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772915040).

1346672000 is an abundant number, since it is smaller than the sum of its proper divisors (2199158080).

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

1346672000 is an equidigital number, since it uses as much as digits as its factorization.

1346672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1346672000 is about 36697.0298525644. The cubic root of 1346672000 is about 1104.3005203022.

The spelling of 1346672000 in words is "one billion, three hundred forty-six million, six hundred seventy-two thousand".