3862384088640 has 448 divisors, whose sum is σ = 15296392194048. Its totient is φ = 802186444800.

The previous prime is 3862384088617. The next prime is 3862384088657. The reversal of 3862384088640 is 468804832683.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168600067 + ... + 168622973.

It is an arithmetic number, because the mean of its divisors is an integer number (34143732576).

Almost surely, 2^{3862384088640} is an apocalyptic number.

3862384088640 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 3862384088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648196097024).

3862384088640 is an abundant number, since it is smaller than the sum of its proper divisors (11434008105408).

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

3862384088640 is a wasteful number, since it uses less digits than its factorization.

3862384088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25226 (or 25216 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 3862384088640 in words is "three trillion, eight hundred sixty-two billion, three hundred eighty-four million, eighty-eight thousand, six hundred forty".