3963561315840 has 1440 divisors, whose sum is σ = 16430261253120. Its totient is φ = 864904642560.

The previous prime is 3963561315817. The next prime is 3963561315907. The reversal of 3963561315840 is 485131653693.

3963561315840 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 5 + 613 + 15 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×3963561315840³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16583938441 + ... + 16583938679.

It is an arithmetic number, because the mean of its divisors is an integer number (11409903648).

Almost surely, 2^{3963561315840} is an apocalyptic number.

3963561315840 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 3963561315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215130626560).

3963561315840 is an abundant number, since it is smaller than the sum of its proper divisors (12466699937280).

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

3963561315840 is a wasteful number, since it uses less digits than its factorization.

3963561315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3963561315840 in words is "three trillion, nine hundred sixty-three billion, five hundred sixty-one million, three hundred fifteen thousand, eight hundred forty".