33334400000 has 264 divisors, whose sum is σ = 90957740832. Its totient is φ = 12108800000.

The previous prime is 33334399999. The next prime is 33334400051. The reversal of 33334400000 is 443333.

It is a happy number.

It is a super-2 number, since 2×33334400000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

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, 35199527 + ... + 35200473.

Almost surely, 2^33334400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45478870416).

33334400000 is an abundant number, since it is smaller than the sum of its proper divisors (57623340832).

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

33334400000 is an frugal number, since it uses more digits than its factorization.

33334400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 33334400000 its reverse (443333), we get a palindrome (33334843333).

It can be divided in two parts, 33334 and 400000, that added together give a palindrome (433334).

The spelling of 33334400000 in words is "thirty-three billion, three hundred thirty-four million, four hundred thousand".