3961426560 has 768 divisors, whose sum is σ = 16409433600. Its totient is φ = 805109760.

The previous prime is 3961426549. The next prime is 3961426589. The reversal of 3961426560 is 656241693.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50144601 + ... + 50144679.

It is an arithmetic number, because the mean of its divisors is an integer number (21366450).

Almost surely, 2^3961426560 is an apocalyptic number.

3961426560 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 3961426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204716800).

3961426560 is an abundant number, since it is smaller than the sum of its proper divisors (12448007040).

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

3961426560 is a wasteful number, since it uses less digits than its factorization.

3961426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3961426560 is about 62939.8646328382. The cubic root of 3961426560 is about 1582.2819347680.

The spelling of 3961426560 in words is "three billion, nine hundred sixty-one million, four hundred twenty-six thousand, five hundred sixty".