3842888417280 has 2400 divisors, whose sum is σ = 16853918780160. Its totient is φ = 825564856320.

The previous prime is 3842888417257. The next prime is 3842888417281. The reversal of 3842888417280 is 827148882483.

3842888417280 is a `hidden beast` number, since 38 + 4 + 288 + 8 + 41 + 7 + 280 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842888417281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23576002479 + ... + 23576002641.

Almost surely, 2^{3842888417280} is an apocalyptic number.

3842888417280 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 3842888417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426959390080).

3842888417280 is an abundant number, since it is smaller than the sum of its proper divisors (13011030362880).

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

3842888417280 is a wasteful number, since it uses less digits than its factorization.

3842888417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 3842888417280 in words is "three trillion, eight hundred forty-two billion, eight hundred eighty-eight million, four hundred seventeen thousand, two hundred eighty".