3345142552224 has 192 divisors, whose sum is σ = 9786565877760. Its totient is φ = 991759057920.

The previous prime is 3345142552211. The next prime is 3345142552237. The reversal of 3345142552224 is 4222552415433.

It is an interprime number because it is at equal distance from previous prime (3345142552211) and next prime (3345142552237).

It is a super-2 number, since 2×3345142552224² (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 31 ways as a sum of consecutive naturals, for example, 161442537 + ... + 161463255.

It is an arithmetic number, because the mean of its divisors is an integer number (50971697280).

Almost surely, 2^{3345142552224} 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 3345142552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893282938880).

3345142552224 is an abundant number, since it is smaller than the sum of its proper divisors (6441423325536).

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

3345142552224 is a wasteful number, since it uses less digits than its factorization.

3345142552224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043 (or 24035 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 42.

Adding to 3345142552224 its reverse (4222552415433), we get a palindrome (7567694967657).

The spelling of 3345142552224 in words is "three trillion, three hundred forty-five billion, one hundred forty-two million, five hundred fifty-two thousand, two hundred twenty-four".