1342848800 has 72 divisors (see below), whose sum is σ = 3286297476. Its totient is φ = 535818240.

The previous prime is 1342848779. The next prime is 1342848811. The reversal of 1342848800 is 88482431.

It can be written as a sum of positive squares in 6 ways, for example, as 408201616 + 934647184 = 20204^2 + 30572^2 .

It is a super-2 number, since 2×1342848800² = 3606485799322880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363764 + ... + 367436.

Almost surely, 2^1342848800 is an apocalyptic number.

1342848800 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 1342848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643148738).

1342848800 is an abundant number, since it is smaller than the sum of its proper divisors (1943448676).

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

1342848800 is a wasteful number, since it uses less digits than its factorization.

1342848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 1342848800 is about 36644.9014188877. The cubic root of 1342848800 is about 1103.2544938895.

The spelling of 1342848800 in words is "one billion, three hundred forty-two million, eight hundred forty-eight thousand, eight hundred".