33861993408 has 224 divisors, whose sum is σ = 104706846720. Its totient is φ = 10716226560.

The previous prime is 33861993397. The next prime is 33861993413. The reversal of 33861993408 is 80439916833.

33861993408 is a `hidden beast` number, since 33 + 86 + 199 + 340 + 8 = 666.

It is a super-3 number, since 3×33861993408³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833141 + ... + 2845067.

It is an arithmetic number, because the mean of its divisors is an integer number (467441280).

Almost surely, 2^33861993408 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 33861993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52353423360).

33861993408 is an abundant number, since it is smaller than the sum of its proper divisors (70844853312).

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

33861993408 is a wasteful number, since it uses less digits than its factorization.

33861993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 33861993408 in words is "thirty-three billion, eight hundred sixty-one million, nine hundred ninety-three thousand, four hundred eight".