1342370800 has 120 divisors (see below), whose sum is σ = 3293539200. Its totient is φ = 525696000.

The previous prime is 1342370797. The next prime is 1342370849. The reversal of 1342370800 is 80732431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6019489 + ... + 6019711.

It is an arithmetic number, because the mean of its divisors is an integer number (27446160).

Almost surely, 2^1342370800 is an apocalyptic number.

1342370800 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 1342370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646769600).

1342370800 is an abundant number, since it is smaller than the sum of its proper divisors (1951168400).

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

1342370800 is a wasteful number, since it uses less digits than its factorization.

1342370800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1342370800 is about 36638.3787850936. The cubic root of 1342370800 is about 1103.1235736566.

The spelling of 1342370800 in words is "one billion, three hundred forty-two million, three hundred seventy thousand, eight hundred".