33821097696 has 192 divisors, whose sum is σ = 101567692800. Its totient is φ = 11081266560.

The previous prime is 33821097689. The next prime is 33821097697. The reversal of 33821097696 is 69679012833.

33821097696 is a `hidden beast` number, since 3 + 382 + 109 + 76 + 96 = 666.

It is a super-3 number, since 3×33821097696³ (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 not an unprimeable number, because it can be changed into a prime (33821097697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4124961 + ... + 4133151.

It is an arithmetic number, because the mean of its divisors is an integer number (528998400).

Almost surely, 2^33821097696 is an apocalyptic number.

33821097696 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 33821097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50783846400).

33821097696 is an abundant number, since it is smaller than the sum of its proper divisors (67746595104).

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

33821097696 is an frugal number, since it uses more digits than its factorization.

33821097696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 33821097696 in words is "thirty-three billion, eight hundred twenty-one million, ninety-seven thousand, six hundred ninety-six".