3353262445120 has 224 divisors, whose sum is σ = 9208014144768. Its totient is φ = 1139355942912.

The previous prime is 3353262445067. The next prime is 3353262445129. The reversal of 3353262445120 is 215442623533.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3353262445120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3353262445129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128874352 + ... + 128900368.

Almost surely, 2^{3353262445120} 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 3353262445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604007072384).

3353262445120 is an abundant number, since it is smaller than the sum of its proper divisors (5854751699648).

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

3353262445120 is a wasteful number, since it uses less digits than its factorization.

3353262445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26557 (or 26547 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 3353262445120 in words is "three trillion, three hundred fifty-three billion, two hundred sixty-two million, four hundred forty-five thousand, one hundred twenty".