3842721672960 has 144 divisors (see below), whose sum is σ = 12303610806816. Its totient is φ = 1022144200704.

The previous prime is 3842721672953. The next prime is 3842721672961. The reversal of 3842721672960 is 692761272483.

It is a self number, because there is not a number n which added to its sum of digits gives 3842721672960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842721672961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264142 + ... + 2784818.

It is an arithmetic number, because the mean of its divisors is an integer number (85441741714).

Almost surely, 2^{3842721672960} is an apocalyptic number.

3842721672960 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 3842721672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151805403408).

3842721672960 is an abundant number, since it is smaller than the sum of its proper divisors (8460889133856).

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

3842721672960 is a wasteful number, since it uses less digits than its factorization.

3842721672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521098 (or 2521084 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 3842721672960 in words is "three trillion, eight hundred forty-two billion, seven hundred twenty-one million, six hundred seventy-two thousand, nine hundred sixty".