3945408000 has 160 divisors (see below), whose sum is σ = 13118133600. Its totient is φ = 1052057600.

The previous prime is 3945407981. The next prime is 3945408001. The reversal of 3945408000 is 8045493.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945408001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181726 + ... + 202274.

It is an arithmetic number, because the mean of its divisors is an integer number (81988335).

Almost surely, 2^3945408000 is an apocalyptic number.

3945408000 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 3945408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559066800).

3945408000 is an abundant number, since it is smaller than the sum of its proper divisors (9172725600).

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

3945408000 is an equidigital number, since it uses as much as digits as its factorization.

3945408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20585 (or 20559 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3945408000 is about 62812.4828358186. The cubic root of 3945408000 is about 1580.1463305161.

The spelling of 3945408000 in words is "three billion, nine hundred forty-five million, four hundred eight thousand".