3946256160 has 384 divisors, whose sum is σ = 15821568000. Its totient is φ = 819624960.

The previous prime is 3946256137. The next prime is 3946256161. The reversal of 3946256160 is 616526493.

3946256160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3946256161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1809951 + ... + 1812129.

It is an arithmetic number, because the mean of its divisors is an integer number (41202000).

Almost surely, 2^3946256160 is an apocalyptic number.

3946256160 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 3946256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910784000).

3946256160 is an abundant number, since it is smaller than the sum of its proper divisors (11875311840).

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

3946256160 is a wasteful number, since it uses less digits than its factorization.

3946256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3946256160 is about 62819.2339972400. The cubic root of 3946256160 is about 1580.2595525104.

The spelling of 3946256160 in words is "three billion, nine hundred forty-six million, two hundred fifty-six thousand, one hundred sixty".