1346878800 has 240 divisors, whose sum is σ = 4821298560. Its totient is φ = 357120000.

The previous prime is 1346878789. The next prime is 1346878817. The reversal of 1346878800 is 88786431.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 3358600 + ... + 3359000.

It is an arithmetic number, because the mean of its divisors is an integer number (20088744).

Almost surely, 2^1346878800 is an apocalyptic number.

1346878800 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 1346878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410649280).

1346878800 is an abundant number, since it is smaller than the sum of its proper divisors (3474419760).

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

1346878800 is a wasteful number, since it uses less digits than its factorization.

1346878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1346878800 is about 36699.8474111269. The cubic root of 1346878800 is about 1104.3570442513.

The spelling of 1346878800 in words is "one billion, three hundred forty-six million, eight hundred seventy-eight thousand, eight hundred".