3961048560 has 320 divisors, whose sum is σ = 15252357120. Its totient is φ = 829854720.

The previous prime is 3961048513. The next prime is 3961048571. The reversal of 3961048560 is 658401693.

3961048560 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987519 + ... + 991521.

It is an arithmetic number, because the mean of its divisors is an integer number (47663616).

Almost surely, 2^3961048560 is an apocalyptic number.

3961048560 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 3961048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626178560).

3961048560 is an abundant number, since it is smaller than the sum of its proper divisors (11291308560).

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

3961048560 is a wasteful number, since it uses less digits than its factorization.

3961048560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3961048560 is about 62936.8616948764. The cubic root of 3961048560 is about 1582.2316059629.

The spelling of 3961048560 in words is "three billion, nine hundred sixty-one million, forty-eight thousand, five hundred sixty".