1334345200 has 60 divisors (see below), whose sum is σ = 3253676920. Its totient is φ = 525761280.

The previous prime is 1334345153. The next prime is 1334345203. The reversal of 1334345200 is 25434331.

It is a super-2 number, since 2×1334345200² = 3560954225526080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334345203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1906 + ... + 51694.

Almost surely, 2^1334345200 is an apocalyptic number.

1334345200 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 1334345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626838460).

1334345200 is an abundant number, since it is smaller than the sum of its proper divisors (1919331720).

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

1334345200 is a wasteful number, since it uses less digits than its factorization.

1334345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49874 (or 49863 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1334345200 is about 36528.6900942259. The cubic root of 1334345200 is about 1100.9207717387.

Adding to 1334345200 its reverse (25434331), we get a palindrome (1359779531).

The spelling of 1334345200 in words is "one billion, three hundred thirty-four million, three hundred forty-five thousand, two hundred".