3344268145560 has 128 divisors (see below), whose sum is σ = 10204596864000. Its totient is φ = 876555394560.

The previous prime is 3344268145549. The next prime is 3344268145571. The reversal of 3344268145560 is 655418624433.

It is an interprime number because it is at equal distance from previous prime (3344268145549) and next prime (3344268145571).

It is a super-2 number, since 2×3344268145560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 10077397 + ... + 10403963.

It is an arithmetic number, because the mean of its divisors is an integer number (79723413000).

Almost surely, 2^{3344268145560} is an apocalyptic number.

3344268145560 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 3344268145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102298432000).

3344268145560 is an abundant number, since it is smaller than the sum of its proper divisors (6860328718440).

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

3344268145560 is a wasteful number, since it uses less digits than its factorization.

3344268145560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328041 (or 328037 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 3344268145560 in words is "three trillion, three hundred forty-four billion, two hundred sixty-eight million, one hundred forty-five thousand, five hundred sixty".