3345655405620 has 192 divisors, whose sum is σ = 10577313331200. Its totient is φ = 782695549440.

The previous prime is 3345655405607. The next prime is 3345655405621. The reversal of 3345655405620 is 265045565433.

It is a happy number.

It is a super-2 number, since 2×3345655405620² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3345655405620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345655405621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37833897 + ... + 37922223.

It is an arithmetic number, because the mean of its divisors is an integer number (55090173600).

Almost surely, 2^{3345655405620} is an apocalyptic number.

3345655405620 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 3345655405620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288656665600).

3345655405620 is an abundant number, since it is smaller than the sum of its proper divisors (7231657925580).

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

3345655405620 is a wasteful number, since it uses less digits than its factorization.

3345655405620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90358 (or 90356 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 3345655405620 in words is "three trillion, three hundred forty-five billion, six hundred fifty-five million, four hundred five thousand, six hundred twenty".