1346640800 has 144 divisors (see below), whose sum is σ = 3459153600. Its totient is φ = 510935040.

The previous prime is 1346640787. The next prime is 1346640833. The reversal of 1346640800 is 80466431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2998976 + ... + 2999424.

It is an arithmetic number, because the mean of its divisors is an integer number (24021900).

Almost surely, 2^1346640800 is an apocalyptic number.

1346640800 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 1346640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729576800).

1346640800 is an abundant number, since it is smaller than the sum of its proper divisors (2112512800).

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

1346640800 is a wasteful number, since it uses less digits than its factorization.

1346640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1346640800 is about 36696.6047475785. The cubic root of 1346640800 is about 1104.2919920087.

The spelling of 1346640800 in words is "one billion, three hundred forty-six million, six hundred forty thousand, eight hundred".