3842025417216 has 720 divisors, whose sum is σ = 13713543660960. Its totient is φ = 1029534105600.

The previous prime is 3842025417199. The next prime is 3842025417281. The reversal of 3842025417216 is 6127145202483.

3842025417216 is a `hidden beast` number, since 3 + 8 + 4 + 20 + 2 + 541 + 72 + 16 = 666.

It is a super-2 number, since 2×3842025417216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 433290415 + ... + 433299281.

It is an arithmetic number, because the mean of its divisors is an integer number (19046588418).

Almost surely, 2^{3842025417216} is an apocalyptic number.

3842025417216 is a gapful number since it is divisible by the number (36) 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 3842025417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856771830480).

3842025417216 is an abundant number, since it is smaller than the sum of its proper divisors (9871518243744).

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

3842025417216 is a wasteful number, since it uses less digits than its factorization.

3842025417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 8999 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3842025417216 in words is "three trillion, eight hundred forty-two billion, twenty-five million, four hundred seventeen thousand, two hundred sixteen".