33982830000 has 1200 divisors, whose sum is σ = 152285253120. Its totient is φ = 6884352000.

The previous prime is 33982829999. The next prime is 33982830001. The reversal of 33982830000 is 3828933.

It is an interprime number because it is at equal distance from previous prime (33982829999) and next prime (33982830001).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (33982830001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 203489917 + ... + 203490083.

Almost surely, 2^33982830000 is an apocalyptic number.

33982830000 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 33982830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76142626560).

33982830000 is an abundant number, since it is smaller than the sum of its proper divisors (118302423120).

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

33982830000 is a wasteful number, since it uses less digits than its factorization.

33982830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 33982830000 in words is "thirty-three billion, nine hundred eighty-two million, eight hundred thirty thousand".