3946656960 has 280 divisors, whose sum is σ = 14369497296. Its totient is φ = 1027676160.

The previous prime is 3946656949. The next prime is 3946656979. The reversal of 3946656960 is 696566493.

It is a happy number.

3946656960 is a `hidden beast` number, since 39 + 46 + 6 + 569 + 6 + 0 = 666.

3946656960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3946656960² = 31152202319832883200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3946656897 and 3946656906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1112790 + ... + 1116330.

Almost surely, 2^3946656960 is an apocalyptic number.

3946656960 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 3946656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184748648).

3946656960 is an abundant number, since it is smaller than the sum of its proper divisors (10422840336).

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

3946656960 is a wasteful number, since it uses less digits than its factorization.

3946656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 3946656960 is about 62822.4240220003. The cubic root of 3946656960 is about 1580.3130501852.

The spelling of 3946656960 in words is "three billion, nine hundred forty-six million, six hundred fifty-six thousand, nine hundred sixty".