3945339167472 has 240 divisors, whose sum is σ = 11308161945600. Its totient is φ = 1283730674688.

The previous prime is 3945339167467. The next prime is 3945339167513. The reversal of 3945339167472 is 2747619335493.

3945339167472 is a `hidden beast` number, since 3 + 9 + 4 + 533 + 91 + 6 + 7 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×3945339167472² (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 47 ways as a sum of consecutive naturals, for example, 1461776779 + ... + 1461779477.

It is an arithmetic number, because the mean of its divisors is an integer number (47117341440).

Almost surely, 2^{3945339167472} 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 3945339167472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654080972800).

3945339167472 is an abundant number, since it is smaller than the sum of its proper divisors (7362822778128).

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

3945339167472 is a wasteful number, since it uses less digits than its factorization.

3945339167472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4091 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 3945339167472 in words is "three trillion, nine hundred forty-five billion, three hundred thirty-nine million, one hundred sixty-seven thousand, four hundred seventy-two".