3961463220 has 576 divisors, whose sum is σ = 15241524480. Its totient is φ = 841881600.

The previous prime is 3961463189. The next prime is 3961463221. The reversal of 3961463220 is 223641693.

3961463220 is a `hidden beast` number, since 3 + 9 + 6 + 14 + 632 + 2 + 0 = 666.

3961463220 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961463221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64941990 + ... + 64942050.

It is an arithmetic number, because the mean of its divisors is an integer number (26460980).

Almost surely, 2^3961463220 is an apocalyptic number.

3961463220 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 3961463220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620762240).

3961463220 is an abundant number, since it is smaller than the sum of its proper divisors (11280061260).

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

3961463220 is a wasteful number, since it uses less digits than its factorization.

3961463220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3961463220 is about 62940.1558625334. The cubic root of 3961463220 is about 1582.2868156930.

The spelling of 3961463220 in words is "three billion, nine hundred sixty-one million, four hundred sixty-three thousand, two hundred twenty".