1334334100 has 72 divisors (see below), whose sum is σ = 3189670848. Its totient is φ = 480460800.

The previous prime is 1334334059. The next prime is 1334334101. The reversal of 1334334100 is 14334331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334334101) by changing a digit.

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, 107412 + ... + 119188.

It is an arithmetic number, because the mean of its divisors is an integer number (44300984).

Almost surely, 2^1334334100 is an apocalyptic number.

1334334100 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 1334334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594835424).

1334334100 is an abundant number, since it is smaller than the sum of its proper divisors (1855336748).

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

1334334100 is a wasteful number, since it uses less digits than its factorization.

1334334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1334334100 is about 36528.5381585412. The cubic root of 1334334100 is about 1100.9177189918.

Adding to 1334334100 its reverse (14334331), we get a palindrome (1348668431).

The spelling of 1334334100 in words is "one billion, three hundred thirty-four million, three hundred thirty-four thousand, one hundred".