1346166720 has 336 divisors, whose sum is σ = 4955377440. Its totient is φ = 334430208.

The previous prime is 1346166667. The next prime is 1346166733. The reversal of 1346166720 is 276616431.

It is a happy number.

1346166720 is a `hidden beast` number, since 1 + 34 + 616 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3994392 + ... + 3994728.

Almost surely, 2^1346166720 is an apocalyptic number.

1346166720 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 1346166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477688720).

1346166720 is an abundant number, since it is smaller than the sum of its proper divisors (3609210720).

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

1346166720 is a wasteful number, since it uses less digits than its factorization.

1346166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1346166720 is about 36690.1447257980. The cubic root of 1346166720 is about 1104.1623894712.

The spelling of 1346166720 in words is "one billion, three hundred forty-six million, one hundred sixty-six thousand, seven hundred twenty".