3969955821600 has 288 divisors, whose sum is σ = 14364323124480. Its totient is φ = 1058189184000.

The previous prime is 3969955821593. The next prime is 3969955821607. The reversal of 3969955821600 is 61285599693.

3969955821600 is a `hidden beast` number, since 3 + 9 + 69 + 9 + 558 + 2 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3969955821593) and next prime (3969955821607).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3969955821607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50526345 + ... + 50604855.

It is an arithmetic number, because the mean of its divisors is an integer number (49876121960).

Almost surely, 2^{3969955821600} is an apocalyptic number.

3969955821600 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 3969955821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182161562240).

3969955821600 is an abundant number, since it is smaller than the sum of its proper divisors (10394367302880).

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

3969955821600 is a wasteful number, since it uses less digits than its factorization.

3969955821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80881 (or 80862 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 3969955821600 in words is "three trillion, nine hundred sixty-nine billion, nine hundred fifty-five million, eight hundred twenty-one thousand, six hundred".