3828620024064 has 2304 divisors, whose sum is σ = 14648043110400. Its totient is φ = 970643865600.

The previous prime is 3828620024063. The next prime is 3828620024069. The reversal of 3828620024064 is 4604200268283.

3828620024064 is a `hidden beast` number, since 38 + 2 + 8 + 6 + 200 + 2 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (3828620024063) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35781495499 + ... + 35781495605.

It is an arithmetic number, because the mean of its divisors is an integer number (6357657600).

Almost surely, 2^{3828620024064} is an apocalyptic number.

3828620024064 is a gapful number since it is divisible by the number (34) 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 3828620024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324021555200).

3828620024064 is an abundant number, since it is smaller than the sum of its proper divisors (10819423086336).

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

3828620024064 is a wasteful number, since it uses less digits than its factorization.

3828620024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3828620024064 in words is "three trillion, eight hundred twenty-eight billion, six hundred twenty million, twenty-four thousand, sixty-four".