33985806336 has 150 divisors (see below), whose sum is σ = 101538707270. Its totient is φ = 11328159744.

The previous prime is 33985806317. The next prime is 33985806383. The reversal of 33985806336 is 63360858933.

It can be written as a sum of positive squares in only one way, i.e., 33973862400 + 11943936 = 184320^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1314300 + ... + 1339908.

Almost surely, 2^33985806336 is an apocalyptic number.

33985806336 is a gapful number since it is divisible by the number (36) 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 33985806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50769353635).

33985806336 is an abundant number, since it is smaller than the sum of its proper divisors (67552900934).

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

33985806336 is an frugal number, since it uses more digits than its factorization.

33985806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25649 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 33985806336 in words is "thirty-three billion, nine hundred eighty-five million, eight hundred six thousand, three hundred thirty-six".