33334938000 has 960 divisors, whose sum is σ = 146682611712. Its totient is φ = 6867763200.

The previous prime is 33334937989. The next prime is 33334938071. The reversal of 33334938000 is 83943333.

It is a super-2 number, since 2×33334938000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 76985784 + ... + 76986216.

Almost surely, 2^33334938000 is an apocalyptic number.

33334938000 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 33334938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73341305856).

33334938000 is an abundant number, since it is smaller than the sum of its proper divisors (113347673712).

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

33334938000 is a wasteful number, since it uses less digits than its factorization.

33334938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 33334938000 in words is "thirty-three billion, three hundred thirty-four million, nine hundred thirty-eight thousand".