33138758400 has 864 divisors, whose sum is σ = 126464405760. Its totient is φ = 7569408000.

The previous prime is 33138758381. The next prime is 33138758407. The reversal of 33138758400 is 485783133.

It is not an unprimeable number, because it can be changed into a prime (33138758407) 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 95 ways as a sum of consecutive naturals, for example, 372345556 + ... + 372345644.

It is an arithmetic number, because the mean of its divisors is an integer number (146370840).

Almost surely, 2^33138758400 is an apocalyptic number.

33138758400 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 33138758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63232202880).

33138758400 is an abundant number, since it is smaller than the sum of its proper divisors (93325647360).

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

33138758400 is a wasteful number, since it uses less digits than its factorization.

33138758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 33138758400 in words is "thirty-three billion, one hundred thirty-eight million, seven hundred fifty-eight thousand, four hundred".