3992864440320 has 2400 divisors, whose sum is σ = 17539037429760. Its totient is φ = 849771233280.

The previous prime is 3992864440267. The next prime is 3992864440321. The reversal of 3992864440320 is 230444682993.

3992864440320 is a `hidden beast` number, since 3 + 9 + 92 + 86 + 4 + 440 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992864440321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67675668451 + ... + 67675668509.

Almost surely, 2^{3992864440320} is an apocalyptic number.

3992864440320 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 3992864440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769518714880).

3992864440320 is an abundant number, since it is smaller than the sum of its proper divisors (13546172989440).

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

3992864440320 is an equidigital number, since it uses as much as digits as its factorization.

3992864440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3992864440320 in words is "three trillion, nine hundred ninety-two billion, eight hundred sixty-four million, four hundred forty thousand, three hundred twenty".