3368513661100 has 288 divisors, whose sum is σ = 8879517674496. Its totient is φ = 1084246732800.

The previous prime is 3368513661017. The next prime is 3368513661119. The reversal of 3368513661100 is 11663158633.

It is a super-2 number, since 2×3368513661100² (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 95 ways as a sum of consecutive naturals, for example, 303109144 + ... + 303120256.

It is an arithmetic number, because the mean of its divisors is an integer number (30831658592).

Almost surely, 2^{3368513661100} 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 3368513661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439758837248).

3368513661100 is an abundant number, since it is smaller than the sum of its proper divisors (5511004013396).

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

3368513661100 is a wasteful number, since it uses less digits than its factorization.

3368513661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 3368513661100 in words is "three trillion, three hundred sixty-eight billion, five hundred thirteen million, six hundred sixty-one thousand, one hundred".