3856828504320 has 3024 divisors, whose sum is σ = 17250693296256. Its totient is φ = 814576435200.

The previous prime is 3856828504313. The next prime is 3856828504339. The reversal of 3856828504320 is 234058286583.

It is a happy number.

3856828504320 is a `hidden beast` number, since 3 + 8 + 56 + 82 + 8 + 504 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×3856828504320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 124413822705 + ... + 124413822735.

It is an arithmetic number, because the mean of its divisors is an integer number (5704594344).

Almost surely, 2^{3856828504320} is an apocalyptic number.

3856828504320 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 3856828504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625346648128).

3856828504320 is an abundant number, since it is smaller than the sum of its proper divisors (13393864791936).

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

3856828504320 is a wasteful number, since it uses less digits than its factorization.

3856828504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 3856828504320 in words is "three trillion, eight hundred fifty-six billion, eight hundred twenty-eight million, five hundred four thousand, three hundred twenty".