3945330607680 has 3360 divisors, whose sum is σ = 19301593234176. Its totient is φ = 746695065600.

The previous prime is 3945330607679. The next prime is 3945330607709. The reversal of 3945330607680 is 867060335493.

3945330607680 is a `hidden beast` number, since 39 + 4 + 533 + 0 + 6 + 0 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 127268729265 + ... + 127268729295.

Almost surely, 2^{3945330607680} is an apocalyptic number.

3945330607680 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 3945330607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650796617088).

3945330607680 is an abundant number, since it is smaller than the sum of its proper divisors (15356262626496).

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

3945330607680 is a wasteful number, since it uses less digits than its factorization.

3945330607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3945330607680 in words is "three trillion, nine hundred forty-five billion, three hundred thirty million, six hundred seven thousand, six hundred eighty".