3842578452064 has 96 divisors (see below), whose sum is σ = 8751538857600. Its totient is φ = 1641387632640.

The previous prime is 3842578452017. The next prime is 3842578452071. The reversal of 3842578452064 is 4602548752483.

3842578452064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3842578452064³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3456247 + ... + 4430665.

It is an arithmetic number, because the mean of its divisors is an integer number (91161863100).

Almost surely, 2^{3842578452064} is an apocalyptic number.

3842578452064 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 3842578452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375769428800).

3842578452064 is an abundant number, since it is smaller than the sum of its proper divisors (4908960405536).

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

3842578452064 is a wasteful number, since it uses less digits than its factorization.

3842578452064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975116 (or 975108 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 58.

The spelling of 3842578452064 in words is "three trillion, eight hundred forty-two billion, five hundred seventy-eight million, four hundred fifty-two thousand, sixty-four".