3963549490560 has 1920 divisors, whose sum is σ = 16479994164480. Its totient is φ = 905267404800.

The previous prime is 3963549490547. The next prime is 3963549490591. The reversal of 3963549490560 is 650949453693.

3963549490560 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 5 + 494 + 90 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3963549490560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11974469595 + ... + 11974469925.

It is an arithmetic number, because the mean of its divisors is an integer number (8583330294).

Almost surely, 2^{3963549490560} is an apocalyptic number.

3963549490560 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 3963549490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239997082240).

3963549490560 is an abundant number, since it is smaller than the sum of its proper divisors (12516444673920).

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

3963549490560 is a wasteful number, since it uses less digits than its factorization.

3963549490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 3963549490560 in words is "three trillion, nine hundred sixty-three billion, five hundred forty-nine million, four hundred ninety thousand, five hundred sixty".