1346906880 has 360 divisors, whose sum is σ = 5262065424. Its totient is φ = 326246400.

The previous prime is 1346906809. The next prime is 1346906881. The reversal of 1346906880 is 886096431.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1346906881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139890 + ... + 1141070.

Almost surely, 2^1346906880 is an apocalyptic number.

1346906880 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 1346906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631032712).

1346906880 is an abundant number, since it is smaller than the sum of its proper divisors (3915158544).

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

1346906880 is a wasteful number, since it uses less digits than its factorization.

1346906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1346906880 is about 36700.2299720315. The cubic root of 1346906880 is about 1104.3647188172.

The spelling of 1346906880 in words is "one billion, three hundred forty-six million, nine hundred six thousand, eight hundred eighty".