3361376643072 has 480 divisors, whose sum is σ = 10517985354240. Its totient is φ = 954564280320.

The previous prime is 3361376643043. The next prime is 3361376643073. The reversal of 3361376643072 is 2703466731633.

It is a happy number.

It is a super-2 number, since 2×3361376643072² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3361376643073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2817582508 + ... + 2817583700.

It is an arithmetic number, because the mean of its divisors is an integer number (21912469488).

Almost surely, 2^{3361376643072} is an apocalyptic number.

3361376643072 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 3361376643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258992677120).

3361376643072 is an abundant number, since it is smaller than the sum of its proper divisors (7156608711168).

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

3361376643072 is an equidigital number, since it uses as much as digits as its factorization.

3361376643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 51.

The spelling of 3361376643072 in words is "three trillion, three hundred sixty-one billion, three hundred seventy-six million, six hundred forty-three thousand, seventy-two".