3961480896 has 168 divisors, whose sum is σ = 12228362640. Its totient is φ = 1221574656.

The previous prime is 3961480891. The next prime is 3961480907. The reversal of 3961480896 is 6980841693.

3961480896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3961480891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574300 + ... + 581156.

Almost surely, 2^3961480896 is an apocalyptic number.

3961480896 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 3961480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114181320).

3961480896 is an abundant number, since it is smaller than the sum of its proper divisors (8266881744).

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

3961480896 is a wasteful number, since it uses less digits than its factorization.

3961480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3961480896 is about 62940.2962814761. The cubic root of 3961480896 is about 1582.2891690709.

The spelling of 3961480896 in words is "three billion, nine hundred sixty-one million, four hundred eighty thousand, eight hundred ninety-six".