3345416100 has 144 divisors (see below), whose sum is σ = 11582314240. Its totient is φ = 823478400.

The previous prime is 3345416083. The next prime is 3345416141. The reversal of 3345416100 is 16145433.

3345416100 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 41 + 610 + 0 = 666.

It is a super-2 number, since 2×3345416100² = 22383617764278420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12556 + ... + 82755.

Almost surely, 2^3345416100 is an apocalyptic number.

3345416100 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 3345416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791157120).

3345416100 is an abundant number, since it is smaller than the sum of its proper divisors (8236898140).

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

3345416100 is a wasteful number, since it uses less digits than its factorization.

3345416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95347 (or 95334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3345416100 is about 57839.5720938528. The cubic root of 3345416100 is about 1495.6043313138.

The spelling of 3345416100 in words is "three billion, three hundred forty-five million, four hundred sixteen thousand, one hundred".