3335300224672 has 144 divisors (see below), whose sum is σ = 7658629846560. Its totient is φ = 1424432894976.

The previous prime is 3335300224657. The next prime is 3335300224673. The reversal of 3335300224672 is 2764220035333.

It is a super-2 number, since 2×3335300224672² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3335300224673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4040898 + ... + 4795774.

It is an arithmetic number, because the mean of its divisors is an integer number (53184929490).

Almost surely, 2^{3335300224672} is an apocalyptic number.

3335300224672 is a gapful number since it is divisible by the number (32) 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 3335300224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829314923280).

3335300224672 is an abundant number, since it is smaller than the sum of its proper divisors (4323329621888).

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

3335300224672 is a wasteful number, since it uses less digits than its factorization.

3335300224672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754975 (or 754954 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 40.

The spelling of 3335300224672 in words is "three trillion, three hundred thirty-five billion, three hundred million, two hundred twenty-four thousand, six hundred seventy-two".