3945775680 has 672 divisors, whose sum is σ = 17574036480. Its totient is φ = 818657280.

The previous prime is 3945775679. The next prime is 3945775711. The reversal of 3945775680 is 865775493.

3945775680 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 77 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5987191 + ... + 5987849.

It is an arithmetic number, because the mean of its divisors is an integer number (26151840).

Almost surely, 2^3945775680 is an apocalyptic number.

3945775680 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 3945775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787018240).

3945775680 is an abundant number, since it is smaller than the sum of its proper divisors (13628260800).

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

3945775680 is a wasteful number, since it uses less digits than its factorization.

3945775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3945775680 is about 62815.4095744030. The cubic root of 3945775680 is about 1580.1954145953.

The spelling of 3945775680 in words is "three billion, nine hundred forty-five million, seven hundred seventy-five thousand, six hundred eighty".