3345216256140 has 288 divisors, whose sum is σ = 10340970511872. Its totient is φ = 807391411200.

The previous prime is 3345216256061. The next prime is 3345216256147. The reversal of 3345216256140 is 416526125433.

3345216256140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3345216256140² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345216256092 and 3345216256101.

It is not an unprimeable number, because it can be changed into a prime (3345216256147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2018838192 + ... + 2018839848.

Almost surely, 2^{3345216256140} is an apocalyptic number.

3345216256140 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 3345216256140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170485255936).

3345216256140 is an abundant number, since it is smaller than the sum of its proper divisors (6995754255732).

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

3345216256140 is a wasteful number, since it uses less digits than its factorization.

3345216256140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 3345216256140 in words is "three trillion, three hundred forty-five billion, two hundred sixteen million, two hundred fifty-six thousand, one hundred forty".