33861331000 has 512 divisors, whose sum is σ = 101185044480. Its totient is φ = 10340352000.

The previous prime is 33861330967. The next prime is 33861331019. The reversal of 33861331000 is 13316833.

It is a super-2 number, since 2×33861331000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33861331000.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 247162932 + ... + 247163068.

It is an arithmetic number, because the mean of its divisors is an integer number (197627040).

Almost surely, 2^33861331000 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 33861331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592522240).

33861331000 is an abundant number, since it is smaller than the sum of its proper divisors (67323713480).

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

33861331000 is a wasteful number, since it uses less digits than its factorization.

33861331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 33861331000 its reverse (13316833), we get a palindrome (33874647833).

The spelling of 33861331000 in words is "thirty-three billion, eight hundred sixty-one million, three hundred thirty-one thousand".