3345241052100 has 144 divisors (see below), whose sum is σ = 9865229334912. Its totient is φ = 874903511040.

The previous prime is 3345241051991. The next prime is 3345241052119. The reversal of 3345241052100 is 12501425433.

It is a super-2 number, since 2×3345241052100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43734489 + ... + 43810911.

It is an arithmetic number, because the mean of its divisors is an integer number (68508537048).

Almost surely, 2^{3345241052100} is an apocalyptic number.

3345241052100 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 3345241052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932614667456).

3345241052100 is an abundant number, since it is smaller than the sum of its proper divisors (6519988282812).

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

3345241052100 is a wasteful number, since it uses less digits than its factorization.

3345241052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79246 (or 79239 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 3345241052100 its reverse (12501425433), we get a palindrome (3357742477533).

The spelling of 3345241052100 in words is "three trillion, three hundred forty-five billion, two hundred forty-one million, fifty-two thousand, one hundred".