3945794160 has 320 divisors, whose sum is σ = 15363302400. Its totient is φ = 813834240.

The previous prime is 3945794159. The next prime is 3945794189. The reversal of 3945794160 is 614975493.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2752804 + ... + 2754236.

It is an arithmetic number, because the mean of its divisors is an integer number (48010320).

Almost surely, 2^3945794160 is an apocalyptic number.

3945794160 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 3945794160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681651200).

3945794160 is an abundant number, since it is smaller than the sum of its proper divisors (11417508240).

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

3945794160 is a wasteful number, since it uses less digits than its factorization.

3945794160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3945794160 is about 62815.5566718946. The cubic root of 3945794160 is about 1580.1978815344.

The spelling of 3945794160 in words is "three billion, nine hundred forty-five million, seven hundred ninety-four thousand, one hundred sixty".