3985327866240 has 1536 divisors, whose sum is σ = 16552553472000. Its totient is φ = 882763628544.

The previous prime is 3985327866151. The next prime is 3985327866263. The reversal of 3985327866240 is 426687235893.

It is a happy number.

3985327866240 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 327 + 8 + 66 + 240 = 666.

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 191 ways as a sum of consecutive naturals, for example, 15507112192 + ... + 15507112448.

It is an arithmetic number, because the mean of its divisors is an integer number (10776402000).

Almost surely, 2^{3985327866240} is an apocalyptic number.

3985327866240 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 3985327866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276276736000).

3985327866240 is an abundant number, since it is smaller than the sum of its proper divisors (12567225605760).

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

3985327866240 is a wasteful number, since it uses less digits than its factorization.

3985327866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3985327866240 in words is "three trillion, nine hundred eighty-five billion, three hundred twenty-seven million, eight hundred sixty-six thousand, two hundred forty".