3003336408100 has 144 divisors (see below), whose sum is σ = 7535401453440. Its totient is φ = 1017680716800.

The previous prime is 3003336408091. The next prime is 3003336408119. The reversal of 3003336408100 is 18046333003.

It is a super-2 number, since 2×3003336408100² (a number of 26 digits) contains 22 as substring.

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, 153684330 + ... + 153703870.

It is an arithmetic number, because the mean of its divisors is an integer number (52329176760).

Almost surely, 2^{3003336408100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003336408100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767700726720).

3003336408100 is an abundant number, since it is smaller than the sum of its proper divisors (4532065045340).

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

3003336408100 is a wasteful number, since it uses less digits than its factorization.

3003336408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22118 (or 22111 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 3003336408100 in words is "three trillion, three billion, three hundred thirty-six million, four hundred eight thousand, one hundred".