3963746949120 has 3456 divisors, whose sum is σ = 18352020960000. Its totient is φ = 814671986688.

The previous prime is 3963746949119. The next prime is 3963746949157. The reversal of 3963746949120 is 219496473693.

3963746949120 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 7 + 469 + 49 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×3963746949120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67182151651 + ... + 67182151709.

It is an arithmetic number, because the mean of its divisors is an integer number (5310191250).

Almost surely, 2^{3963746949120} is an apocalyptic number.

3963746949120 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 3963746949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176010480000).

3963746949120 is an abundant number, since it is smaller than the sum of its proper divisors (14388274010880).

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

3963746949120 is a wasteful number, since it uses less digits than its factorization.

3963746949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3963746949120 in words is "three trillion, nine hundred sixty-three billion, seven hundred forty-six million, nine hundred forty-nine thousand, one hundred twenty".