1346404800 has 168 divisors, whose sum is σ = 4757344816. Its totient is φ = 331407360.

The previous prime is 1346404799. The next prime is 1346404819. The reversal of 1346404800 is 84046431.

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51612 + ... + 73188.

Almost surely, 2^1346404800 is an apocalyptic number.

1346404800 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 1346404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378672408).

1346404800 is an abundant number, since it is smaller than the sum of its proper divisors (3410940016).

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

1346404800 is a wasteful number, since it uses less digits than its factorization.

1346404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21600 counting only the distinct ones).

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

The square root of 1346404800 is about 36693.3890503453. The cubic root of 1346404800 is about 1104.2274788547.

The spelling of 1346404800 in words is "one billion, three hundred forty-six million, four hundred four thousand, eight hundred".