3383797726560 has 384 divisors, whose sum is σ = 11103017587200. Its totient is φ = 865742929920.

The previous prime is 3383797726457. The next prime is 3383797726577. The reversal of 3383797726560 is 656277973833.

It is a super-2 number, since 2×3383797726560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3383797726491 and 3383797726500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206812780 + ... + 206829140.

It is an arithmetic number, because the mean of its divisors is an integer number (28914108300).

Almost surely, 2^{3383797726560} is an apocalyptic number.

3383797726560 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 3383797726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551508793600).

3383797726560 is an abundant number, since it is smaller than the sum of its proper divisors (7719219860640).

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

3383797726560 is a wasteful number, since it uses less digits than its factorization.

3383797726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16606 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 66.

The spelling of 3383797726560 in words is "three trillion, three hundred eighty-three billion, seven hundred ninety-seven million, seven hundred twenty-six thousand, five hundred sixty".