3820659840000 has 1540 divisors, whose sum is σ = 15097421528640. Its totient is φ = 962979840000.

The previous prime is 3820659839993. The next prime is 3820659840031. The reversal of 3820659840000 is 489560283.

3820659840000 is a `hidden beast` number, since 38 + 20 + 6 + 598 + 4 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3820659840000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 8864639785 + ... + 8864640215.

Almost surely, 2^{3820659840000} is an apocalyptic number.

3820659840000 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 3820659840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548710764320).

3820659840000 is an abundant number, since it is smaller than the sum of its proper divisors (11276761688640).

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

3820659840000 is an frugal number, since it uses more digits than its factorization.

3820659840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3820659840000 in words is "three trillion, eight hundred twenty billion, six hundred fifty-nine million, eight hundred forty thousand".