3353821796160 has 1120 divisors, whose sum is σ = 13866590707200. Its totient is φ = 760873512960.

The previous prime is 3353821796159. The next prime is 3353821796189. The reversal of 3353821796160 is 616971283533.

3353821796160 is a `hidden beast` number, since 3 + 3 + 5 + 3 + 8 + 2 + 17 + 9 + 616 + 0 = 666.

It is a super-2 number, since 2×3353821796160² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3353821796097 and 3353821796106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 449630511 + ... + 449637969.

It is an arithmetic number, because the mean of its divisors is an integer number (12380884560).

Almost surely, 2^{3353821796160} is an apocalyptic number.

3353821796160 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 3353821796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933295353600).

3353821796160 is an abundant number, since it is smaller than the sum of its proper divisors (10512768911040).

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

3353821796160 is a wasteful number, since it uses less digits than its factorization.

3353821796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3353821796160 in words is "three trillion, three hundred fifty-three billion, eight hundred twenty-one million, seven hundred ninety-six thousand, one hundred sixty".