3345063227100 has 432 divisors, whose sum is σ = 12194194521600. Its totient is φ = 751112732160.

The previous prime is 3345063227071. The next prime is 3345063227119. The reversal of 3345063227100 is 17223605433.

3345063227100 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 0 + 632 + 2 + 7 + 10 + 0 = 666.

It is a super-2 number, since 2×3345063227100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 887989417 + ... + 887993183.

Almost surely, 2^{3345063227100} is an apocalyptic number.

3345063227100 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 3345063227100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097097260800).

3345063227100 is an abundant number, since it is smaller than the sum of its proper divisors (8849131294500).

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

3345063227100 is a wasteful number, since it uses less digits than its factorization.

3345063227100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3345063227100 in words is "three trillion, three hundred forty-five billion, sixty-three million, two hundred twenty-seven thousand, one hundred".