3842619104640 has 1024 divisors, whose sum is σ = 13502619648000. Its totient is φ = 925876224000.

The previous prime is 3842619104633. The next prime is 3842619104641. The reversal of 3842619104640 is 464019162483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3842619104640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842619104641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25447808565 + ... + 25447808715.

It is an arithmetic number, because the mean of its divisors is an integer number (13186152000).

Almost surely, 2^{3842619104640} is an apocalyptic number.

3842619104640 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 3842619104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751309824000).

3842619104640 is an abundant number, since it is smaller than the sum of its proper divisors (9660000543360).

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

3842619104640 is a wasteful number, since it uses less digits than its factorization.

3842619104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 3842619104640 in words is "three trillion, eight hundred forty-two billion, six hundred nineteen million, one hundred four thousand, six hundred forty".