3962848665600 has 2352 divisors, whose sum is σ = 17052831406080. Its totient is φ = 902961561600.

The previous prime is 3962848665583. The next prime is 3962848665617. The reversal of 3962848665600 is 65668482693.

3962848665600 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 8 + 4 + 8 + 66 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3962848665583) and next prime (3962848665617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 31203532737 + ... + 31203532863.

Almost surely, 2^{3962848665600} is an apocalyptic number.

3962848665600 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 3962848665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526415703040).

3962848665600 is an abundant number, since it is smaller than the sum of its proper divisors (13089982740480).

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

3962848665600 is a wasteful number, since it uses less digits than its factorization.

3962848665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3962848665600 in words is "three trillion, nine hundred sixty-two billion, eight hundred forty-eight million, six hundred sixty-five thousand, six hundred".