3946288896 has 432 divisors, whose sum is σ = 13213724160. Its totient is φ = 1164533760.

The previous prime is 3946288861. The next prime is 3946288903. The reversal of 3946288896 is 6988826493.

3946288896 is a `hidden beast` number, since 3 + 9 + 462 + 8 + 88 + 96 = 666.

3946288896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49952985 + ... + 49953063.

Almost surely, 2^3946288896 is an apocalyptic number.

3946288896 is a gapful number since it is divisible by the number (36) 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 3946288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606862080).

3946288896 is an abundant number, since it is smaller than the sum of its proper divisors (9267435264).

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

3946288896 is an equidigital number, since it uses as much as digits as its factorization.

3946288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 3946288896 is about 62819.4945538405. The cubic root of 3946288896 is about 1580.2639221569.

The spelling of 3946288896 in words is "three billion, nine hundred forty-six million, two hundred eighty-eight thousand, eight hundred ninety-six".