33380440800 has 288 divisors, whose sum is σ = 124736516352. Its totient is φ = 7595335680.

The previous prime is 33380440787. The next prime is 33380440811. The reversal of 33380440800 is 804408333.

It is a super-2 number, since 2×33380440800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3809224 + ... + 3817976.

It is an arithmetic number, because the mean of its divisors is an integer number (433112904).

Almost surely, 2^33380440800 is an apocalyptic number.

33380440800 is a gapful number since it is divisible by the number (30) 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 33380440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62368258176).

33380440800 is an abundant number, since it is smaller than the sum of its proper divisors (91356075552).

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

33380440800 is a wasteful number, since it uses less digits than its factorization.

33380440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 33380440800 in words is "thirty-three billion, three hundred eighty million, four hundred forty thousand, eight hundred".